SOLUTION: The chance that a police chief believes that the death penalty will reduce homicides is 1 in 4. If a random sample of 8 chiefs is selected, what is the probability that 3 of them w

Question 806198: The chance that a police chief believes that the death penalty will reduce homicides is 1 in 4. If a random sample of 8 chiefs is selected, what is the probability that 3 of them will believe the death penalty will reduce homicides? What is the probability that less than 3 of the selected chiefs will believe this?
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
The chance that a police chief believes that the death penalty will reduce homicides is 1 in 4.
If a random sample of 8 chiefs is selected, what is the probability that 3 of them will believe the death penalty will reduce homicides?
Answer: (8C3)(0.25)^3(0.75)^5 = 0.208

What is the probability that less than 3 of the selected chiefs will believe this?
Answer: 0.679
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