Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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a random sample of 35 four - door passenger vehicles had a mean gas mil…
A. 24 mpg
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represent each true statement with symbols. use symbols to write relate…
Avery did not draw a numbered card from 4 to 10.
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represent each true statement with symbols. use symbols to write relate…
The first statement is represented with $p ightarrow q$, the second statement is represented with $q ightarrow r$, and the third statement is represented with $ eg r$. The conclu…
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3f draw the relationships in each grouping of eight words below, draw s…
1. Straight lines: self - assured - poised; massacre - annihilate; prior - previous. Squiggly lines: ajar - closed; prior - later. 2. Straight lines: infamous - notorious; uncerta…
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the following text is adapted from mohsin hamids 2017 novel exit west. …
B. Arriving at
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2f draw the relationship in each grouping of eight words below, draw st…
For set 2: - Synonyms: straight line between "satisfy" and "quench", straight line between "gravity" and "importance" - Antonyms: wiggly line between "wary" and "trusting" For set…
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what main ideas did you notice as you read \exhalation\? there are no r…
The power of the scientific method The inevitability of death True immortality Some other theme not listed
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how does artemidorus role in act 3.1 reflect the theme of fate? caesar …
Caesar won't read Artemidorus' letter, which means Artemidorus cannot stop Caesar's fate: his assassination.
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which of the following describes quotations? (1 point) situations, peop…
exact words taken from a speech or text
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developing a topic quick check which of the following describes concret…
specific and observable facts that help with understanding
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find the probability that you will roll an even number exactly 5 times …
As the number of trials ($n$) increases from 10 to 20, the binomial distribution spreads out more. There are more possible numbers of successes in 20 trials than in 10 trials. So,…
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find the probability that you will roll an even number exactly 5 times …
For rolling a six - sided number cube 10 times: $\frac{63}{256}$ For rolling a six - sided number cube 20 times: $\frac{969}{65536}$
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according to a survey, 40% of adults watch a particular television show…
1
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according to a survey, 40% of adults watch a particular television show…
skewed
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sample response: the probability gets smaller and approaches 0 because …
The probability decreases as the number of successes increases., The probability of 9 or 10 successes is very close to 0., 9 or 10 successes is very unlikely.
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p(getting exactly 7 correct) = 0.0031 p(getting exactly 8 correct) = 0.…
The probability of getting greater numbers of successes decreases exponentially.
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peter guesses on all 10 questions of a multiple - choice quiz. each que…
0.0035
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a number cube with six sides is rolled seven times. the probability of …
$\frac{65625}{279936}\approx0.234$
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which expression represents the probability of rolling a 5 exactly thre…
$_{10}C_{3}(\frac{1}{6})^{3}(\frac{5}{6})^{7}$ (corresponding to the third option in the multiple - choice list)
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use the following formula for calculating binomial probabilities to ans…
63/256
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determine the values of the variables in the binomial probability formu…
$n = 10$ $p = 0.5$ $k = 5$
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you already learned the expression for calculating binomial probabiliti…
n represents the number of trials p represents the probability of success k represents the number of successes
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use the features on the left to identify which of the following are bin…
a survey asking 50 people if they like pizza a survey measuring 50 people to see if they are over 6 feet tall
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which three criteria do binomial experiments meet? there are only two t…
- The trials are independent. - There are only two outcomes per trial. - The probability of success is the same for each trial.
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suppose you spin the spinner below 5 times. which probabilities do you …
P(0 successes), P(1 success), P(2 successes)
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what best describessubstitute? a good that can replace another to some …
Question 1: a good that can replace another to some extent so that greater consumption of one good can mean less of the other Question 2: the relationship between price and the qu…
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find the binomial distribution for flipping a coin 3 times, where \head…
$P(0\text{ successes}) = 0.125$ $P(1\text{ success}) = 0.375$ $P(2\text{ successes}) = 0.375$ $P(3\text{ successes}) = 0.125$
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what is the probability of getting a vowel (a success) for the spinner …
\(\frac{40}{243}\)
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in act 2.1 of the tragedy of julius caesar, why do the conspirators not…
Brutus thinks that honest men will follow through on their intentions; therefore, they do not need to swear an oath.
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what is the probability of getting a vowel (a success) for the spinner …
$P(3\text{ successes})=\frac{40}{243}$
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what is the probability of getting a vowel (a success) for the spinner …
$\frac{1}{3}$
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read the excerpt below from act 1.1 of the tragedy of julius caesar and…
He cures them and puts a new sole to "cover" them.
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2. flexible 3. ambicioso 4. positivo 5. tranquilo 6. enfermo b match th…
Section B: 1. a. terco - d. obstinado 2. e. comportamiento - f. conducta 3. f. contento - f. alegre 4. b. molestar - b. enojar 5. c. calmo - c. tranquilo 6. d. enojado - d. enfada…
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match the words that mean the same. 1. ___ terco 2. ___ comportamiento …
3. f. alegre 4. b. enojar 5. c. tranquilo 6. d. enfadado
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let k be the number of successes (green) when the spinner is spun 4 tim…
The graph is always a binomial distribution. No matter what \(p\) is, \(k\) can always be 0, 1, 2, 3, or 4. For values of \(p\) close to 0.5, the distribution is more symmetric. F…
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select all statements below that are true about the binomial distributi…
The bar for any number \(k\) represents the probability of getting \(k\) successes in 5 flips. The number of successes, \(k\), can range from 0 (no success) to 5 (all successes). …
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match the words that mean the opposite. 1. d contento a. negativo 2. fl…
2. c 3. e 4. a 5. b 6. f
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a match the words that mean the opposite. 1. a contento a. negativo 2. …
A. 1. d. triste 2. c. terco 3. e. perezoso 4. a. negativo 5. b. nervioso 6. f. bien B. 1. d. obstinado 2. g. conducta 3. f. alegre 4. b. enojar 5. c. tranquilo 6. d. enfadado C. 1…
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part b resolution of independence by the united states we, therefore, t…
6. The powers claimed are to levy war, conclude peace, contract alliances, establish commerce, and perform other acts rightfully done by independent states. 7. The signers are dee…
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perform 100 experiments by clicking the \flip\ button below 100 times. …
2
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6. list the powers the new and free independent colonies planned to cla…
6. The power to levy war, conclude peace, contract alliances, establish commerce, and perform other acts of independent states. 7. Signers committed their lives, fortunes, and sac…
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select all the correct answers. which two disadvantages are associated …
It may affect the message's clarity. It may lead to groupthink.
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each time you click the \flip\ button, the computer will flip four coin…
Flip 1's number of successes: 2 Flip 2's number of successes: 2 Flip 3's number of successes: 2 Flip 4's number of successes: 3
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each time you click the \flip\ button, the computer will flip four coin…
The number of successes for each flip will depend on the actual results of the coin - flips. For example, if in Flip 1, 2 coins show heads, then Flip 1's number of successes is 2.…
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focus fo - cus verb meaning to pay special ____ to something or somebod…
Meaning: attention Examples: work; homework
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a bag contains 8 pieces of paper, each with one of these letters writte…
Likely: The letter drawn is a consonant Equally likely: The letter drawn is one of the first ten letters in the alphabet Unlikely: The letter drawn is a vowel Impossible: The lett…
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matching likelihood there are 8 pieces of paper, each with one of these…
The letter drawn is a vowel: Unlikely The letter drawn is one of the first ten letters in the alphabet: As likely as not The paper drawn has one letter on it: Certain The letter d…
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a garden store recently sold 44 seed packets, including 22 squash seed …
47
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brandon recorded which donut his nephew picked for breakfast the past f…
5
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lead to lead to verb meaning to something something to happen or someon…
cause; cause
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p(blue)=\\frac{total number of squares}{number of blue squares} p(blue)…
P(blue)=$\frac{\text{number of blue squares}}{\text{total number of squares}}$ (the second option)
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maria rolls a regular number cube with sides labeled 1 through 6. how m…
C. 6
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the experimental probability of getting a 6 on a number cube is $\frac{…
The number 6 came up 7 times out of a total of 40 trials.
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a point is randomly chosen on the grid shown below. what is the likelih…
It is unlikely.
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a coin is thrown at random into the rectangle below. what is the likeli…
It is unlikely.
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a spinner is divided into 8 equal sections, and each section contains a…
$\frac{3}{8}$
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josephine noticed that out of 10 e - mails she received, 7 were adverti…
She will receive 70 advertisements.
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kyles handful of trail mix has 2 almonds, 4 peanuts, 3 raisins, and 5 s…
C. $\frac{2}{7}$
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a spinner with 4 colors is spun for a total of 50 trials. yellow was se…
B. $\frac{1}{5}$
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a standard deck of 52 cards contains 13 cards with hearts, 13 with diam…
6,169,176
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a box contains cards that are numbered from 1 to 100. what is the proba…
$\frac{11}{100}$
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brents after - school game club has 12 members from which a six - membe…
Brent's club has more possible team combinations because there are more members to choose from.
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the probability of choosing a penny from the 1980s from the bag of penn…
unlikely
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catherine has a 6 - sided number cube that is numbered from 1 through 6…
20
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a coin is thrown at random into the square below. what is the likelihoo…
It is likely.
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anthonys muffin shop recently sold 4 blackberry muffins and 6 other muf…
8
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ann runs a day care center. of the last 18 children to enroll at the da…
4
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out of the people who have already taken their seats at a seminar, 2 pe…
8
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what is the probability of spinning blue or green? 1/8 3/8 1/2 5/8
$\frac{3}{8}$
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the coffee spot served several pastries this afternoon. poppy seed muff…
4
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while flipping a weighted coin, latrell gets 4 heads and 2 tails. based…
2
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which event has a probability other than $\frac{1}{2}$? - flipping a co…
B. choosing a vowel from a bag of tiles that contains one of each letter of the alphabet
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of the last 18 trains to pull into castroville station, 12 were full. c…
8
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viktoria knows that it is impossible to remove a red marble from her ba…
0
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a high school is hosting a blood drive. the sign - up sheet has 5 slots…
$20,349\cdot100,947$
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which value cannot represent the probability of an event occurring? 0.0…
D. 1.1
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jamaal knows that it is certain that he will win the election because h…
D. 1
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in a survey of college students, each of the following was found. of th…
469
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the results of a color spinner experiment are shown in the table. consi…
10
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during an experiment, a spinner landed on green 9 times, which resulted…
If there were 9 occurrences and 45 trials, the simplified experimental probability would be $\frac{1}{5}$, not $\frac{1}{6}$.
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jason practiced making soccer goals and kept track of the results. he m…
Jason will make 18 goals.
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what is the experimental probability for the lowest frequency? $\frac{3…
$\frac{3}{18}$
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in a survey of college students, each of the following was found. of th…
28
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lonnie threw 50 free throws and missed 16 of them. if lonnie throws 75 …
B. Lonnie will make 51 free throws.
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melanie and three of her classmates worked as a team to find the experi…
D. Juanita
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in a survey of college students, each of the following was found. of th…
a) 493 b) 134
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during an experiment, juan rolled a six - sided number cube 18 times. t…
Juan's claim is incorrect. The correct experimental probability is \(\frac{2}{9}\).
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before a chair manufacturer sells its beanbag chairs, they spot check a…
They would expect 75 chairs to be understuffed.
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a number cube was rolled as part of an experiment. the results are disp…
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
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in a survey of college students, each of the following was found. of th…
583
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after t hours, lizas distance from home, in miles, is given by d(t)=170…
(a) The constant 3 means that after 3 hours, a new - phase of her journey starts (perhaps a change in speed or mode of travel). The constant 170 means that at \(t = 3\) hours, Liz…
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finding experimental probability select \spin\ to start the spinner. pe…
Since we haven't actually performed the 50 - trial experiment, we can't give a specific numerical answer. The answer will be in the form \(\frac{x}{50}\), where \(x\) is the numbe…
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sample response/explanation: to find the experimental probability, comp…
Experimental probability is a ratio that compares the number of times the event occurs to the total number of trials. Add the frequencies to get the total number of trials. Compar…
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which of the following is the meaning of the word baroque? relaxing som…
Strange
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current attempt in progress a companys total profit after t months of o…
(a) The constant 7 likely represents the number of months after which a certain change in the profit - calculation pattern occurs (perhaps the start of a new business phase or a c…
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current attempt in progress when n guests are staying in a room, where …
The 138 is: The base - charge for 4 guests. The 18 is: The additional charge per guest above 4 guests.
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a number cube was rolled as part of an experiment. the results are show…
The experimental probability of rolling a 6 is $\frac{3}{20}$. First, find the total number of trials by adding all frequencies (60). Then, identify the frequency of rolling a 6 (…
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a survey of 105 college students was taken to determine where they got …
15
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a survey of 105 college students was taken to determine where they got …
90
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a survey of 105 college students was taken to determine where they got …
43