# Question: Let X1 and X2 have independent distributions b n1 p and

Let X1 and X2 have independent distributions b(n1, p) and b(n2, p). Find the mgf of Y = X1 + X2. How is Y distributed?

**View Solution:**## Answer to relevant Questions

The time X in minutes of a visit to a cardiovascular disease specialist by a patient is modeled by a gamma pdf with α = 1.5 and θ = 10. Suppose that you are such a patient and have four patients ahead of you. Assuming ...A consumer buys n light bulbs, each of which has a lifetime that has a mean of 800 hours, a standard deviation of 100 hours, and a normal distribution. A light bulb is replaced by another as soon as it turns out. Assuming ...Let X denote the wing length in millimeters of a male gallinule and Y the wing length in millimeters of a female gallinule. Assume that X is N(184.09,39.37) and Y is N(171.93,50.88) and that X and Y are independent. If a ...In the casino game roulette, the probability of winning with a bet on red is p = 18/38. Let Y equal the number of winning bets out of 1000 independent bets that are placed. Find P(Y > 500), approximately. If E(X) = 17 and E(X2) = 298, use Chebyshev’s inequality to determine (a) A lower bound for P(10 < X < 24). (b) An upper bound for P(|X − 17| ≥ 16).Post your question