Final answer:
To compute P(X > 5), we use the binomial distribution formula and the binomcdf function. The probability that X is greater than 5 is approximately 0.2246.
Step-by-step explanation:
To compute P(X > 5), we need to find 1 - P(X ≤ 5) using the binomial distribution formula. First, we calculate √15(.281)(.719) to get 1.7409. Then, we use the binomcdf(15, .281, 5) function to find the cumulative probability of X ≤ 5, which is 0.7754. Finally, we subtract 0.7754 from 1 to get the probability P(X > 5) = 0.2246. Thus, the probability that X is greater than 5 is approximately 0.2246.