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

Which of the following is a correct way to perform the simulation?
a. Let integers from $1 t o 34$ represent making a free throw and $35 t o 50$ represent missing a free throw. Generate $50$ random integers from $1 t o 50$ . Count the number
of made free throws. Repeat this process many times.
b. Let integers from $1 t o 34$ represent making a free throw and $35 t o 50$ represent 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 from $1 t o 56$ represent making a free throw and $57 t o 100$ represent missing a free throw. Generate 50 random integers from $1 t o 100 .$ Count the number of made free throws. Repeat this process many times.
d. Let integers from localid="1653986588937" $1 t o 56$ represent making a free throw and localid="1653986593808" $57 t o 100$ represent missing a free throw. Generate 50 random integers from localid="1653986598680" $1 t o 100$ with 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 $50$ random integers .Count the number

of made free throws. Repeat this process many times.

Step by step solution

Given information

We have to tell correct way to perform the simulation.

Explanation

Because making a free throw has a $56$ percent probability, $56$ out of $100$ numbers should correlate to making a free throw. The integers $1 t o 56$ must represent a successful free throw, whereas the integers $57 t o 100$ must 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)