# Question: If X1 X2 X3 X4 X5 are independent and identically

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

(a) P{min(X1, . . . ,X5) ≤ a};

(b) P{max(X1, . . . ,X5) ≤ a}.

(a) P{min(X1, . . . ,X5) ≤ a};

(b) P{max(X1, . . . ,X5) ≤ a}.

## Answer to relevant Questions

Repeat Problem 3a when the ball selected is replaced in the urn before the next selection. Problem 3 In Problem 2, suppose that the white balls are numbered, and let Yi equal 1 if the ith white ball is selected and 0 ...X and Y have joint density function f(x, y) = 1/x2y2 x ≥ 1, y ≥ 1 (a) Compute the joint density function of U = XY, V = X/Y. (b) What are the marginal densities? Verify Equation (1.2). Suppose X and Y are both integer-valued random variables. Let p(i|j) = P(X = i|Y = j) and q(j|i) = P(Y = j|X = i) Show that Show that if n people are distributed at random along a road L miles long, then the probability that no 2 people are less than a distance D miles apart is when D ≤ L/(n − 1), [1 − (n − 1)D/L]n. What if D > L/(n − ...Post your question