A member of the power family of distributions has a distribution function given by F(y)

Chapter 6, Problem 6.17

(choose chapter or problem)

A member of the power family of distributions has a distribution function given by F(y) = 0, y < 0, y , 0 y , 1, y > , where , > 0.a Find the density function. b For fixed values of and , find a transformation G(U) so that G(U) has a distribution function of F when U possesses a uniform (0, 1) distribution. c Given that a random sample of size 5 from a uniform distribution on the interval (0, 1) yielded the values .2700, .6901, .1413, .1523, and .3609, use the transformation derived in part (b) to give values associated with a random variable with a power family distribution with = 2, = 4

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