Normal Distribution Functions Norm.dist(x, mean, stdev, c) - calculates the normal distribution for a given value...

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Normal Distribution Functions Norm.dist(x, mean, stdev, c) - calculates the normal distribution for a given value of x, where mean and stdev are the descriptive statistics of the variable in question. Generally, the c argument will always be set to 1, as that calculates the cumulative probability up to the value x. Norm.inv(p, mean, stdev) - calculates the inverse normal distribution. Specifically, given a probability p, it will return the corresponding value of x in the distribution described by mean and stdev. Standard Normal Distribution Functions = x- - Standardize(x, mean, stdev) - returns the standard normal value z for a given value of x with a distribution described by mean and stdev. Recall that z Norm.s.dist(z) - calculates the standard normal distribution for a given value of z. The mean and stdev arguments are not needed, as they are 0 and 1, respectively. Norm.s.inv(p) - calculates the inverse standard normal distribution. Specifically, it returns a value for z, corresponding to a given probability p. 1 1/1 point 2 3 4 5a FRESHMAN 15. If 1 male college student is randomly selected, find the probability that he has no weight gain during his freshman year. 0.405 1/1 point 5b, If 25 male college students are randomly selected, find the probability that their mean weight gain during their freshman year is less than or equal to 0 kg. 0.1112 1/1 point 6a. If 1 male college student is randomly selected, find the probability that he gains at least 2.0 kg during his freshman year. 0.436 1/1 point 6b. If 16 male college students are randomly selected, find the probability that their mean weight gain during their freshman year is at least 2.0 kg. 0.258 Normal Distribution Functions Norm.dist(x, mean, stdev, c) - calculates the normal distribution for a given value of x, where mean and stdev are the descriptive statistics of the variable in question. Generally, the c argument will always be set to 1, as that calculates the cumulative probability up to the value x. Norm.inv(p, mean, stdev) - calculates the inverse normal distribution. Specifically, given a probability p, it will return the corresponding value of x in the distribution described by mean and stdev. Standard Normal Distribution Functions = x- - Standardize(x, mean, stdev) - returns the standard normal value z for a given value of x with a distribution described by mean and stdev. Recall that z Norm.s.dist(z) - calculates the standard normal distribution for a given value of z. The mean and stdev arguments are not needed, as they are 0 and 1, respectively. Norm.s.inv(p) - calculates the inverse standard normal distribution. Specifically, it returns a value for z, corresponding to a given probability p. 1 1/1 point 2 3 4 5a FRESHMAN 15. If 1 male college student is randomly selected, find the probability that he has no weight gain during his freshman year. 0.405 1/1 point 5b, If 25 male college students are randomly selected, find the probability that their mean weight gain during their freshman year is less than or equal to 0 kg. 0.1112 1/1 point 6a. If 1 male college student is randomly selected, find the probability that he gains at least 2.0 kg during his freshman year. 0.436 1/1 point 6b. If 16 male college students are randomly selected, find the probability that their mean weight gain during their freshman year is at least 2.0 kg. 0.258