A football player is practicing making field goals from the 30-yard line. If the probability of his kicking a field goal is 0.75, what is the probability he will kick at least 12 field goals in the next 15 tries? Assume independence between tries.
A) 0.0000
B) 0.2252
C) 0.4613
D) 0.6481

Question

Quizplus · Accepted Answer

The problem can be modeled using a binomial distribution with n = 15 trials and a success probability of p = 0.75. The probability of getting at least 12 successes (field goals) can be calculated using the cumulative distribution function (CDF) for a binomial distribution. The probability is approximately 0.4613.

A Football Player Is Practicing Making Field Goals from the 30-Yard