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39​% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly...

39​% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ (a) exactly​ three, (b) at least​ four, (c) less than eight.

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Answer #1

Let X denotes the number of U.S. adults who favor the use of unmanned drones by police agencies out of randomly selected 12 U.S. adults.

X ~ Binomial(n = 12, p = 0.39)

The probability mass function of X is

Now,

a) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is exactly​ three

b) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ at least​ four

c) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight

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