Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities: Exactly 3 were unemployed. Round to 3dp: At most 4 were unemployed. Round to 3dp: At least 3 were unemployed. Round to 3dp: Fewer than 2 were unemployed. Round to 3dp: Source: U.S. Department of Justice.
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The formula is: P(X=k) = (nCk) * p^k * (1-p)^(n-k) Where: - P(X=k) is the probability of getting exactly k successes - n is the number of trials (in this case, the number of inmates selected) - k is the number of successes (in this case, the number of unemployed Show more…
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Sri K.
Prison Inmates Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities: $$ \begin{array}{l}{\text { a. Exactly } 3 \text { were unemployed. }} \\ {\text { b. At most } 4 \text { were unemployed. }} \\ {\text { c. At least } 3 \text { were unemployed. }} \\ {\text { d. Fewer than } 2 \text { were unemployed. }}\end{array} $$
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