$5.2 .11 .$ Let $p=0.95$ be the probability that a man, in a certain age group, lives at least 5 years.(a) If we are to observe 60 such men and if we assume independence, use $\mathrm{R}$ to compute the probability that at least 56 of them live 5 or more years.(b) Find an approximation to the result of part (a) by using the Poisson distribution. Hint: Redefine $p$ to be 0.05 and $1-p=0.95$

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$5.2 .11 .$ Let $p=0.95$ be the probability that a man, in a certain age group, lives at least 5 years.
(a) If we are to observe 60 such men and if we assume independence, use $\mathrm{R}$ to compute the probability that at least 56 of them live 5 or more years.
(b) Find an approximation to the result of part (a) by using the Poisson distribution. Hint: Redefine $p$ to be 0.05 and $1-p=0.95$

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