Let X₁, X₂, and X₃ represent the times A necessary to perform three successive repair tasks at a service facility. Suppose they are independent, normal rvs with expected values μ₁, μ₂, and μ₃ and variances σ²₁ ; σ²₂  ; and σ²₃ , respectively.

a.

b.

c.

d.

e.

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If μ₁ = μ₂ = μ3 = 60, o == 0 = 15, calculate P(X₁ + X₂ +X3 ≤ 200).