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A probability distribution of a continuous random variable X is... | Filo

SOLVED: Let X be a random variable with the geometric distribution with parameter p i) What is P(X = k) in terms of k and p if the model describes the probability that the first occurrence of success requires k independent trials, each with success probability p? ii) Assume that a one value sample X (n = 1). What is the likelihood function L(p) in terms of p and z? Which value of p maximises L(p)? iii) Consider sample of n: X1;- X2, Xn; find the maximum likelihood estimator for p