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Let X1,X2, and X3 represent the times necessary to perform three successive repair tasks at a...

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)

Math   Statistics-And-Probability   
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