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Asked Jan 9, 2020

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SAT Test. In Exercises 15–20, assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n=8 trials, each with probability of success (correct) given by p=0.20. Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is no more than 2.

Step 1

From the given information, the value of *n* is 8 and the probability of correct answer is 0.20.

The random variable *X* as the number of correct answers and follows Binomial distribution with parameters *n*=8 and *p* =0.20.

The probability mass function for the random variable *X* is,

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