If x is normally distributed with mean μ and standard deviation σ=4, and given that the probability that x is less than 32 is 0.0228.
a) Find the value of μ.
b) What is the probability that x is greater than 43?
c) What is the probability that x is between 35 and 45?
d) What is the x value so that only 4.01% of all possible outcomes exceeds that value.