1. The weight of an energy bar is approximately normally distributed with a mean of 42.90 grams with a standard deviation of 0.045 gram. Complete parts (a) through (c) below.

a. What is the probability that an individual energy bar weighs less than 42.865 grams?

b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.865 grams?

c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.865 grams?

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

Part (a) refers to an individual bar, which can be thought of as a sample with sample size ___. Therefore, the standard error of the mean for an individual bar is ____ times the standard error of the sample in (c) with sample size 25.