A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100.

a.the probability that the sum of the 100 values is less than 3,900.

b. Find the sum with a z-score of -2.5.

c. Find the probability that the sums will fall between the z-scores -2 and 1.