Question

A bulk food store sells 25-pound bags of potatoes. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely, so the distribution of weights is uniform. A sample of 100 bags is taken. What is the probability that the mean actual weight for the 100 bags of potatoes is less than 24.9?

Answer 1

0.45

Explanation:

For uniform distribution, CDF =
`(x-a)/(b -a)`

a is the minimum while b is maximum

F(24.9) =
`(24.9 - 24)/(26 -24) = 0.9/2 = 0.45`