Question

question 4 of 10
a basketball coach watches video of past games and notices that one of his players is able to make baskets from a certain area 45% of the time. the coach creates a model based on this and run a simulation to predict how the player will continue to make shots from that spot. what set of numbers could be used to represent made baskets?
a. 0 - 450
b. 1 - 44
c. 1 - 45
d. 0 - 44

Explanation:

Step1: Understand probability - simulation mapping

When using numbers to simulate a probability, if the probability is \(p\), and we are using whole - number ranges from 0 to \(n\), we need to set up the range such that the proportion of numbers representing the event is equal to \(p\). Here, the probability of making a basket is \(45\%=\frac{45}{100} = 0.45\).

Step2: Analyze option ranges

We assume we are using a range of 100 possible numbers (since percentages are out of 100). To represent a 45% probability, we need 45 numbers out of 100. If we start the range from 0 and go to 99 (100 numbers in total), the set of 45 numbers representing made baskets should be from 0 to 44 (45 numbers: \(44 - 0+1=45\)).

Answer:

D. 0 - 44