Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.3 kg and a standard deviation of o=4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year between 0 kg and 3 kg. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O D. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size.

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