A normal distribution of creativity scores has a mean of μ = 54 with σ = 6. a. What is the probability of randomly selecting a score less than X = 51?

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

c. Which sample of the following is the least likely sample?

i. Sample 1 with n = 16, M = 54
ii. Sample 2 with n = 25, M = 48
iii. Sample 3 with n = 100, M = 56