Suppose that a poll of 18 voters is taken in a large city. the random variable x denotes the number of votes who favor a certain candidate for mayor. suppose that 43% of all the city's voters favor the candidate. find the probability that exactly 10 of the sampled voters favor the candidate. (round to three decimal places)

0.105

Step-by-step explanation:

Binomial probability formula :-

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

Given : The random variable x denotes the number of votes who favor a certain candidate for mayor.

Sample size : n=18

The probability that city's voters favor the candidate: p=0.43

Now, the probability that exactly 10 of the sampled voters favor the candidate is given by :-

Hence, the probability that exactly 10 of the sampled voters favor the candidate = 0.105

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