THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
A basketball player makes 80 percent of his free throws during the regular season.Consider his next eight free throws.
-What is the probability that he will make between four and six (inclusive)free throws?
A)0.1468
B)0.4863
C)0.4404
D)0.6291

Question

Quizplus · Accepted Answer

The probability can be calculated using the binomial probability formula, which is P(X = k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful trials, p is the probability of success on a single trial, and nCk is the binomial coefficient. For this problem, n = 8 (eight free throws), p = 0.8 (80% success rate), and we need to find the probability of k being 4, 5, or 6. Calculating these probabilities and summing them gives the total probability of making between four and six free throws, which is approximately 0.4863.