1. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. The weights have a uniform distribution. A sample of 100 weights is taken.

(a) What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation?

(b) What is the distribution for the mean weight of 100 25-pound lifting weights?

(c) Find the probability that the mean actual weight for the 100 weights is greater than 24.9.