Answer to Question #144817 in Statistics and Probability for Nikiwe Makhubele

Question #144817
Find the probability that 5 students seek assistance in a month
1
Expert's answer
2020-11-17T15:31:57-0500

The number of students who seek assistance with their Statistics assignments is Poisson distributed with a mean of two per day.

Find the probability that 5 students seek assistance in a month.

Let X=X= the number of students who seek assistance with their Statistics assignments: XPo(λt)X\sim Po(\lambda t)


P(X=x)=eλt(λt)xx!P(X=x)=\dfrac{e^{-\lambda t}(\lambda t)^x}{x!}

Given λ=2/day,t=30 days\lambda=2/day, t=30\ days


P(X=5)=e2(30)(2(30))55!0P(X=5)=\dfrac{e^{-2(30)}(2(30))^5}{5!}\approx0

The probability that 5 students seek assistance in a month is approximately zero.



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