Exercise 2 Binomial(n, VP). : Let X1, X2,..., Xm be a random sample from a Binomial distribution 1. Compute the maximum likelihood estimator for p. (Please note that √√p) > 0). Please show all your workings. 2. For the particular case when X₁ = 1, X2 = 3, X3 = 3 are the realisations of a random sample from a Binomial (n = 5, √P), what is the maximum likelihood estimate for the parameter p? Please justify your answer.

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Exercise 2
Binomial(n, VP).
: Let X1, X2,..., Xm be a random sample from a Binomial distribution
1. Compute the maximum likelihood estimator for p. (Please note that √√p) > 0). Please show all
your workings.
2. For the particular case when X₁ = 1, X2 = 3, X3 = 3 are the realisations of a random sample from
a Binomial (n = 5, √P), what is the maximum likelihood estimate for the parameter p? Please
justify your answer.
Transcribed Image Text:Exercise 2 Binomial(n, VP). : Let X1, X2,..., Xm be a random sample from a Binomial distribution 1. Compute the maximum likelihood estimator for p. (Please note that √√p) > 0). Please show all your workings. 2. For the particular case when X₁ = 1, X2 = 3, X3 = 3 are the realisations of a random sample from a Binomial (n = 5, √P), what is the maximum likelihood estimate for the parameter p? Please justify your answer.
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