## On a multiple-choice test. Abby randomly guesses on all seven questions. Each question has four choices. Find the probability to the n

Question

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## Answers ( )

Answer:0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distributionThe binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

Seven questions:This means that

Each question has four choices.Abby guesses, which means that

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.This is P(X = 3).