Suppose that a random variable Y has a probability density function given by f (y) =
Chapter 4, Problem 4.96(choose chapter or problem)
Suppose that a random variable Y has a probability density function given by f (y) = ky3ey/2, y > 0, 0, elsewhere. a Find the value of k that makes f (y) a density function. b Does Y have a 2 distribution? If so, how many degrees of freedom? c What are the mean and standard deviation of Y ? d Applet Exercise What is the probability that Y lies within 2 standard deviations of its mean?
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