A random variable is known to be normally distributed with the following parameters:

m  5.5 and s  0.50

a. Determine the value of x such that the probability of a value from this distribution exceeding x is at most 0.10.

b. Referring to your answer in part

a, what must the population mean be changed to if the probability of exceeding the value of x found in part a is reduced from 0.10 to 0.05?