According to a poll, 56% of voters support funding a new community center. A surveyor randomly selects 75 voters and asks each voter if he or she is in favor of the center. If being in favor of the center is a success, what is the probability of a success for this binomial experiment? 0.34 0.44 0.56 0.75

The answer is "0.56".

As 56% of voters support funding a new community center, so
56/100 = 0.56.

A binomial experiment refers to a measurable test that has the accompanying properties: The trial comprises of n repeated trials. Every trial can bring about only two conceivable results. We call one of these results a win and the other, a disappointment. The likelihood of accomplishment, meant by p, is the same on each trial.

MrRoyal MrRoyal · Answer 2 · 2022-04-13T12:16:33+02:00

The 56% in the poll is an illustration of a binomial probability, and the probability of success for the binomial experiment is 0.56

What is a binomial experiment?

A binomial experiment is an experiment that can have either of two outcomes

Check below on how to determine the probability

From the question, we understand that:

56% of voters support funding a new community center

This means that the probability of success is

p = 56%

Express as decimal

p = 0.56

Hence, the probability of success for the binomial experiment is 0.56