Let X1,X2, and X3 represent the times
necessary to perform three successive repair tasks at a certain
service facility. Suppose they are independent, normal rv's with
the same expected value μ=56 and variance σ^2=20.
Let T0=X1+X2+X3.
(a) Calculate P(T0≤183)P(T0≤183)
(b) Calculate P(153≤T0≤183)P(153≤T0≤183)
(c) Calculate P(x¯>51)P(x¯>51)
(d) Calculate P(54≤x¯≤58)P(54≤x¯≤58)