The probability that a student is not a swimm | vedclass

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Question

(A) Let $p$ be the probability that a student is a swimmer. Since the probability of not being a swimmer is $1/5$,we have $p = 1 - 1/5 = 4/5$.Let $q$

Vedclass · Accepted Answer

${}^5C_4 \left( \frac{4}{5} \right)^4 \left( \frac{1}{5} \right)$

Vedclass · Answer

(A) Let $p$ be the probability that a student is a swimmer. Since the probability of not being a swimmer is $1/5$,we have $p = 1 - 1/5 = 4/5$.Let $q$ be the probability that a student is not a swimmer,so $q = 1/5$.We use the binomial distribution formula $P(X = k) = {}^nC_k p^k q^{n-k}$,where $n = 5$ and $k = 4$.$P(X = 4) = {}^5C_4 \left( \frac{4}{5} \right)^4 \left( \frac{1}{5} \right)^{5-4}$.$P(X = 4) = {}^5C_4 \left( \frac{4}{5} \right)^4 \left( \frac{1}{5} \right)$.

The probability that a student is not a swimmer is $1/5$. What is the probability that $4$ out of $5$ students are swimmers?

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