# Question: Show that

Show that

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Verify that Var(X) = α / λ2 when X is a gamma random variable with parameters α and λ. Let X have probability density fX. Find the probability density function of the random variable Y defined by Y = aX + b. An ambulance travels back and forth at a constant speed along a road of length L. At a certain moment of time, an accident occurs at a point uniformly distributed on the road. [That is, the distance of the point from one of ...The joint density function of X and Y is (a) Are X and Y independent? (b) Find the density function of X. (c) Find P{X + Y < 1}. According to the U.S. National Center for Health Statistics, 25.2 percent of males and 23.6 percent of females never eat breakfast. Suppose that random samples of 200 men and 200 women are chosen. Approximate the probability ...Post your question