A normal distribution has a mean of m = 54 and a standard deviation of s = 6. a. What is the probability of randomly selecting a score less than X = 51? b. What is the probability of selecting a...

A normal distribution has a mean of m = 54 and a standard deviation of s = 6.

a. What is the probability of randomly selecting a score less than X = 51?

b. What is the probability of selecting a sample of n = 4 scores with a mean less than M = 51?

c. What is the probability of selecting a sample of n = 36 scores with a mean less than M = 51?