A normal random variable X with mean sixty and standard deviation six.
a) Calculate the Z-score for x = 52
b) Determine the value of x that is equivalent to a Z-score of 1.96
c) Find the probability that x is between forty-five and seventy
d) Give the probability that x is at most 78.5
e) What is the value of x such that P (X < x) is 0.3264