Apoll shows that 30% of voters in a city favor of a $0.01 tax increase. if 8 voters are selected at random, what is the probability that exactly 2 of them will vote in favor of the tax?

0.2965

Explanation:

Given : The proportion of voters in a city favor of a $0.01 tax increase. =0.30

The number of voters are selected at random =8

Binomial probability formula :-

, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting success in each trial.

Now, the probability that exactly 2 of them will vote in favor of the tax is given by :-

Hence,  the probability that exactly 2 of them will vote in favor of the tax = 0.2965

yup the answer is