Question

4. A basketball player makes 75% of his free throws. We want to estimate the probability that he makes 4 or more frees throws out of 5 attempts (we assume the shots are independent). To do this, we use the digits 1, 2, and 3 to correspond to making the free throw and the digit 4 to correspond to missing the free throw. If the table of random digits begins with the digits below, how many free throw does he hit in our first simulation of five shoots?

Answer 1

In a simulation using random digits to estimate a basketball player making free throws, digits 1, 2, and 3 represent success; digit 4 is a miss. Counting successes in a given sequence shows how many shots are made.

Step-by-step explanation:

To estimate the probability that a basketball player makes 4 or more free throws out of 5 attempts, given he makes the shot 75 percent of the time, we apply a simulation using random digits. We designate digits 1, 2, and 3 to represent a successful free throw, and the digit 4 signifying a miss. The simulation involves looking at the first five digits from a given sequence from a table of random digits and counting the numbers that correspond to a successful shot.

For instance, if the first five digits in the table are 1, 3, 2, 4, 2, then the player would be making the first, second, third, and fifth free throws but would miss the fourth. Thus, in this simulation, the basketball player hits 4 free throws.