Assume that random guesses are made for twelve multiple choice questions on an SAT test, so that there are n=12 trials, each with probability of success given be p=0.45. Find the indicated probability for the number of correct answers.  Find the probability that the number x of correct answers is fewer than 4

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Assume that random guesses are made for twelve multiple choice questions on an SAT test, so that there are n=12 trials, each with probability of success given be p=0.45. Find the indicated probability for the number of correct answers.  Find the probability that the number x of correct answers is fewer than 4

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Step 1

From the provided information,

Number of trials (n) = 12

Probability of success (p) = 0.45

The process will follow binomial distribution as follow:

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