Question

Prison Inmates Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities: $$ \begin{array}{l}{\text { a. Exactly } 3 \text { were unemployed. }} \\ {\text { b. At most } 4 \text { were unemployed. }} \\ {\text { c. At least } 3 \text { were unemployed. }} \\ {\text { d. Fewer than } 2 \text { were unemployed. }}\end{array} $$

          Prison Inmates Forty percent of prison inmates were
unemployed when they entered prison. If 5 inmates are
randomly selected, find these probabilities:
$$
\begin{array}{l}{\text { a. Exactly } 3 \text { were unemployed. }} \\ {\text { b. At most } 4 \text { were unemployed. }} \\ {\text { c. At least } 3 \text { were unemployed. }} \\ {\text { d. Fewer than } 2 \text { were unemployed. }}\end{array}
$$

Added by Silvia S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

05/29/2023

Step 1

Exactly 3 were unemployed. We can use the binomial probability formula for this: $$P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}$$ where $n=5$ (number of inmates), $k=3$ (number of unemployed inmates), and $p=0.4$ (probability of being unemployed). $$P(X=3) = Show more…

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Prison Inmates Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities: $$ \begin{array}{l}{\text { a. Exactly } 3 \text { were unemployed. }} \\ {\text { b. At most } 4 \text { were unemployed. }} \\ {\text { c. At least } 3 \text { were unemployed. }} \\ {\text { d. Fewer than } 2 \text { were unemployed. }}\end{array} $$