49. If X, X, X, X, X are independent and identically distributed exponential random variables with the

49. If X₁, X₂, X₃, X₄, X₅ are independent and identically distributed exponential random variables with the parameter λ, compute

(a) P(min(X₁, ..., X₅) ≤ α);

(b) P(max(X₁, ..., X₃) ≤ α).