(Problem 10) Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities: a. Exactly 3 were unemployed. b. At most 4 were unemployed. c. At least 3 were unemployed. d. Fewer than 2 were unemployed.
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Since 40% of inmates were unemployed when they entered prison, the probability of an inmate being unemployed is 0.4, and the probability of an inmate being employed is 0.6. We can use the binomial probability formula to find the probabilities for each 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: $$ \begin{array}{l}{\text { a. Exactly } 3 \text { were unemployed. }} \\ {\text { b. At most } 4 \text { were unemployed. }} \\ {\text { c. At least } 3 \text { were unemployed. }} \\ {\text { d. Fewer than } 2 \text { were unemployed. }}\end{array} $$
Discrete Probability Distributions
The Binomial Distribution
13. Prison Inmates: Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities: a. Exactly 3 were unemployed. b. At most 4 were unemployed. c. At least 3 were unemployed. d. Fewer than 2 were unemployed.
Supreeta N.
A local county has an unemployment rate of 4.1%. A random sample of 15 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 5 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.
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