Here x is the number of trials require to get 4 succeful trials.
so here the distribution is negative binomial. with pdf
f(x) = (x-1)C3 (0.4)4(0.6)x-4
Here
E[X] = (1-p) r/p + 4 = 0.6 * 4/0.4 + 4 = 10
Var[X] = (1-p)r/p2 = 0.6 * 4/ 0.42= 15
Problem 4.23. Suppose you take a sequence a Bernoulli trials with probability p = 0.4 of...
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