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Let X1, X2, and, X3 a represent the times (in minutes) necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values µ1, µ2, and, µ3 and variances σ21, σ22, and σ23, respectively. If µ = µ1 = µ2 = µ3 = 60 and σ21 = σ22 = σ23 = 15, calculate the probability that the total time to finish the three repair tasks is at most 200 minutes.

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