1. According to a recent poll: 80% of all adult Americans believe that climate i

Question

1. According to a recent poll: 80% of all adult Americans believe that climate is real, although 55% believe that it is not going to have an effect on them personally. In a random sample of 20 adult Americans, what is the probability that exactly 10 of them believe that climate change is real: (We can assume that the random variable X - # of Adult Americans who believe that climate change is real is a binomial distribution and corresponding tables can be used).

A. 0.001

B. 0.002

C. 0.003

D. 0.997

Explanation / Answer

Here it is given that we can consider distribution for people who believe climate is real is binomial distribution with n=20 and p=0.80

We need to find P(x=10)=ncxp^x(1-p)^n-x=20c10*0.80^10*(1-0.80)^10=0.002 hence answer is B.

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