Question: 10. Let X1,X2, . . . ,Xn be a random sample of size n from a population with continuous distribution function F and probability density

10. Let X1,X2, . . . ,Xn be a random sample of size n from a population with continuous distribution function F and probability density function f.

(a) Calculate the probability density function of the sample range, R =

X(n) − X(1).

(b) Use

(a) to find the probability density function of the sample range of n random numbers from (0, 1).

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