Find the maximum likelihood estimate

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Reference no: EM131938800

A study of the noise level on takeoff of jet airplanes at a particular airport is studied. The random variable is X, the noise level in decibels of the plane as it passes over the first residential area adjacent to the airport. This random variable is assumed to have a gamma distribution with a = 2 and B unknown.

(a) Find the maximum likelihood estimate for ii based on a sample of size n.

(b) Use B to find an estimate for the mean value of X. Is this estimator unbiased for P.?

55 65 60 73 80

64 57 75 62 86

69 100 70 82 65

72 67 61 95 52

(d) Estimate the average decibel reading of these jets.

Reference no: EM131938800

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