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Chapter 5: Q. T5.5 (page 357)

Which of the following is a correct way to perform the simulation?

a. Let integers from 1to34represent making a free throw and 35to50represent missing a free throw. Generate 50random integers from1to50. Count the number

of made free throws. Repeat this process many times.

b. Let integers from 1to34represent making a free throw and 35to50represent missing a free throw. Generate 50 random integers from 1 to 50 with no repeats

allowed. Count the number of made free throws. Repeat this process many times.

c. Let integers from1to56represent making a free throw and 57to100represent missing a free throw. Generate 50 random integers from1to100.Count the number of made free throws. Repeat this process many times.

d. Let integers from localid="1653986588937" 1to56represent making a free throw and localid="1653986593808" 57to100represent missing a free throw. Generate 50 random integers from localid="1653986598680" 1to100with no repeats allowed. Count the number of made free throws. Repeat this process many times.

e. None of the above is correct.

Short Answer

Expert verified

The correct option is :

c. Let integers from represent making a free throw and represent

missing a free throw. Generate 50random integers .Count the number

of made free throws. Repeat this process many times.

Step by step solution

01

Given information

We have to tell correct way to perform the simulation.

02

Explanation

Because making a free throw has a 56percent probability, 56out of 100numbers should correlate to making a free throw. The integers 1to56must represent a successful free throw, whereas the integers 57to100must represent a missed free shot. As a result, response options (c) and (d) correlate to this, and one of these two possibilities will be the correct answer.

The difference between response options (c) and (d) is that (c) enables repetitions of the randomly selected integers, but (d) does not. In this scenario, repetition should be allowed since if you don't allow repeat, your chances of making a free throw will diminish.

Therefore, the correct option is (c)

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