# Question

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 independence, what integral gives the probability that you will wait more than 90 minutes?

## Answer to relevant Questions

Let X1 and X2 be two independent random variables. Let X1 and Y = X1 + X2 be χ2(r1) and χ2(r), respectively, where r1 < r. (a) Find the mgf of X2. (b) What is its distribution? Let the independent random variables X1 and X2 be N(0,1) and χ2(r), respectively. Let Y1 = X1/√X2/r and Y2 = X2. (a) Find the joint pdf of Y1 and Y2. (b) Determine the marginal pdf of Y1 and show that Y1 has a t ...Let X and Y equal the respective numbers of hours a randomly selected child watches movies or cartoons on TV during a certain month. From experience, it is known that E(X) = 30, E(Y) = 50, Var(X) = 52, Var(Y) = 64, and ...If X is b(100,0.1), find the approximate value of P(12 ≤ X ≤ 14), using (a) The normal approximation. (b) The Poisson approximation. (c) The binomial. If the distribution of Y is b(n, 0.5), give a lower bound for P(|Y/n − 0.5| < 0.08) when (a) n = 100. (b) n = 500. (c) n = 1000.Post your question

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