Assume that the amounts of weight that male college students gain their freshman year are normally distributed with a mean of u= 1.3 kg and a standard deviation of o= 4.8 kg. Complete parts (a) through (c) below.
a. If 1 male college student is randomly selected, find the probability that he gains 0 kg and 3 kg during freshman year.
b. If 4 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?