Question: Suppose X follows a negative binomial distribution with parameters as defined in Equation 6.20. Assume that for obtaining r = 6 failures, x is noted

Suppose X follows a negative binomial distribution with parameters as defined in Equation 6.20. Assume that for obtaining r = 6 failures, x is noted as 10. Obtain the likelihood function plot and then graphically infer about the ML estimate of p.

Data from in Equation 6.20

P(X= x) = x+r-1 +-) p'(1 p)*, x = 0, 1, 2,

P(X= x) = x+r-1 +-) p'(1 p)*, x = 0, 1, 2, ..., { (+*+-) p^(^_p), x 0, otherwise.

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