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photoshop1234 [79]
2 years ago
5

Among 46​- to 51​-year-olds, 28​% say they have called a talk show while under the influence of peer pressurepeer pressure. Supp

ose sevenseven 46​- to 51​-year-olds are selected at random. ​(a) What is the probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressurepeer pressure​? ​(b) What is the probability that at least one has called nbspcalled a talk showa talk show while under the influence of peer pressurepeer pressure​?
Mathematics
1 answer:
sasho [114]2 years ago
3 0

Answer:

0.8997, 0.9999

Step-by-step explanation:

Given that among 46​- to 51​-year-olds, 28​% say they have called a talk show while under the influence of peer pressure.

i.e. X no of people who say they have called a talk show while under the influence of peer pressure is binomial with p = 0.28

Each person is independent of the other and there are only two outcomes

n =7

a) the probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

=P(Y\geq 1) where Y is binomial with p = 0.72

= 1-(1-0.72)^7\\=0.9999

b) the probability that at least one has  called a talk showcalled a talk show while under the influence of peer pressurepeer pressurethe probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

=P(x\geq 1) =1-P(0)\\= 1-(1-0.28)^7\\=0.8997

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