Suppose that 60% of the voters in a state intend to vote for a certain candidate. what is the probability that a survey polling 5 people reveals that at most 2 voters support the candidate.

0.31744

Step-by-step explanation:

Binomial probability distribution 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 succes in each trial.

Given : The probability that the voters in a state intend to vote for a certain candidate:  

Now, the probability that a survey polling 5 people reveals that at most 2 voters support the candidate will be :-

Hence, the probability that a survey polling 5 people reveals that at most 2 voters support the candidate = 0.31744