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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u = 1.1 kg and a standard deviation of = 5.1 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 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.

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?

◯ A. Since the original population has a normal distribution. the distribution of sample means is a normal distribution for any sample size

◯ B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

◯ C. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size.

◯ D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

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Find f(π/3)=

Given

f '' (x)=7x+6

and f ' (−1)=−5 and f(−1)=3.

Find f ' (x)=
and find f (2)=

show work

Find f '(a).

f(x)=√7x+1

f '(a)=