Let X be a discrete random variable such that: P(X=0)=1-T and P(X= 40) = π 5 and 0 otherwise, where 0 < < 1 is an unknown parameter. Derive the maximum likelihood estimate of based on a random sample of size 11 = 5 from this distribution which resulted in i I¡ = 120. Note you must show all steps of your working. You do not need to verify the solution is a maximum.

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