Question: The independent random variables X1, . .. , An have the common distribution if x B where the parameters a and S are positive. (a)

The independent random variables X1, . .. , An have the common distribution if x B where the parameters a and S are positive. (a) Assume a and S are both unknown, find the MLEs of a and B. (b) The length of cuckoos's eggs found in hedge sparrow nests can be modeled with this distribution. For the data 22.0, 23.9, 20.9, 23.8, 26.0, 25.0, 21.7, 23.8, 22.8, 23.1, 23.1, 23.5, 23.0, 23.0 find the MLEs of a and B. (c) If a is a known constant, do, find an upper confidence limit for S with confidence coefficient 0.95. (d) Use the data in (b) to construct an interval estimate for B. Assume that a is known and equal to its MLE

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