Question

section 6.2 homework
due friday by 11:59pm points 14 submitting an external tool
section 6.2 homework
score: 4.67/14 answered: 6/14
question 7
approximately 11% of all people are left - handed. consider 17 randomly selected people.
a) state the random variable.
select an answer
b) list the given numbers with correct symbols.
? = 17
? = 0.11
c) explain why this is a binomial experiment. check all that apply.
p = 11% remains constant from one randomly selected person to another
there is not a fixed number of people
there are only two outcomes for each person
there are more than two outcomes for each person
there are a fixed number of people, 17
whether or not one randomly selected person is left - handed will affect whether or not another randomly selected person is left - handed
whether or not one randomly selected person is left - handed will not affect whether or not another randomly selected person is left - handed

Explanation:

Step1: Define random variable

The random variable \(X\) is the number of left - handed people among the 17 randomly selected people.

Step2: Identify symbols for given numbers

The number of trials \(n = 17\) (the number of randomly selected people), and the probability of success \(p=0.11\) (the probability that a person is left - handed).

Step3: Check binomial experiment conditions

1. The probability \(p = 0.11\) remains constant from one randomly selected person to another.
2. There are only two outcomes for each person: left - handed or not left - handed.
3. There are a fixed number of people, \(n = 17\).
4. Whether or not one randomly selected person is left - handed will not affect whether or not another randomly selected person is left - handed (the selections are independent).

Answer:

a) The random variable \(X\) is the number of left - handed people among the 17 randomly selected people.
b) \(n = 17\), \(p=0.11\)
c) \(p = 11\%\) remains constant from one randomly selected person to another; There are only two outcomes for each person; There are a fixed number of people, 17; Whether or not one randomly selected person is left - handed will not affect whether or not another randomly selected person is left - handed.