Final answer:
The minimum value of the function occurs at x=4 because the probability P(X ≤ 4) is the highest.
Step-by-step explanation:
The minimum value of the function occurs at x=4 because the probability P(X ≤ 4) is the highest. We have a given condition that X must be a whole number, so to find the probability P(X ≤ 4), we compute P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4), which comes out to be 0.6288. Therefore, the minimum value of the function occurs at x=4.