A manufacturer produces 25-pound lifting weights. 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 weights is taken.

a. What is the distribution for the weights of one 25-pound lifting weight?

b. What is the mean and standard deviation?

c. What is the distribution for the mean weight of 100 25-pound lifting weights?

d. Find the probability that the mean actual weight for the 100 weights is less than 24.9.