Find the cdf of the range between the max and the min of nindependent uniform random variable on [0,1]. DO NOT findthe pdf of the range first then integrate to findcdf !! Find thecdf of the range DIRECTLYby integrating over the domain of the joint pdf ofthe max and min.
The joint pdf of the max. and the min. is as follows: f(u, v) =n*(n-1)*(u-v)^(n-2), 1 >= u >= v >= 0.
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