4) Consider randomly sampling from a theoretical normal distribution. (1 pt. eac

ID: 3358270 • Letter: 4

Question

4) Consider randomly sampling from a theoretical normal distribution. (1 pt. each).

a. What is the probability that a single randomly sampled observation have a value above the mean?

b. What is the probability that observations from a random sample size of n=2 will both have values above the mean?

c. What is the probability that observations from a random sample size of n=4 will all have values above the mean?

d. What is the probability that observations from a sample size of n=8 will all have values above the mean?

A) Probability that a single randonly sampled observation will have a value above mean = 0.5

B) probability that onservations from sample size n = 2 will have both values above mean = 0.5x0.5 = 0.25

C) Probability that observations from a random sample size of n=4 will all have values above the mean = 0.54= 0.0625

D) Probability that observations from a random sample size of n=8 will all have values above the mean = 0.58 = 0.0039

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