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

The student's question pertains to a simulation of a basketball player's free throws using random digits. We cannot perform the simulation without the given sequence of digits, but we can explain the simulation process, which involves counting digits 1, 2, and 3 as hits, and the digit 4 as a miss.

Step-by-step explanation:

The question asks us to simulate a basketball player's free throws using random digits, where digits 1, 2, and 3 represent a successful free throw, and the digit 4 represents a miss. The player is known to make 75% of his free throws. To find out how many free throws the player hits in our first simulation of five shots, we would need the sequence of random digits provided in the question, which seems to be missing. Normally, we would use the random digits to simulate each free throw, counting 1, 2, and 3 as a 'hit' and 4 as a 'miss.'

Without the digits, we cannot complete the simulation, but we can explain the process. To simulate the player's free throws, we would sequentially assign each digit to a free throw, record the outcome based on the digit, and count the number of hits after five simulated shots. This method applies the concepts of probability and random sampling.