The weight of an energy bar is approximately normally distributed with a mean of 42.05 grams with a standard deviation of 0.035 gram.

a. What is the probability that an individual energy bar contains less than 42.035 grams?

b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.035 grams?

c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.035 grams?

d. Explain the difference in the results in (a) and (c).

e. Explain the difference in the results in (b) and (c)