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Generate a sample of 50 from an (4,1) distribution. Suppose your interest is in estimating the…

Generate a sample of 50 from an (4,1) distribution. Suppose your interest is in estimating the 90th percentile x09 of this distribution and we pretend that µ = 4 and σ = 1 are unknown

(a) Compute an estimate of x09 based on the appropriate order statistic.

(b) Compute an estimate based on the fact that Generate a sample of 50 from an (4,1) distribution. Suppose your interest is in estimating the...percentile of the N(01) distribution.

 (c) If you knew, or at least were willing to assume, that the sample came from a normal distribution, which of the estimates in parts (a) or (b) would you prefer? Explain why