Question: The random variable x has a normal distribution with \(\mu \) = 40 and \({{\sigma }^{2}}\) = 36. Find the value of x, call it \({{x}_{0}}\), such that:

(a) P( \(x\ge {{x}_{0}}\) ) = 0.10

(b) P (x < \({{x}_{0}}\) ) = 0.05

c) P (x \(\ge {{x}_{0}}\) ) = 0.40