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*Please provide step-by-step answers* A student is taking a test in which there are nine multiple-choice...

*Please provide step-by-step answers*

A student is taking a test in which there are nine multiple-choice questions, each with four alternatives. Since the student has not studied, he decides to guess the answer to each of the nine questions.

A. What is the probability that the student will get exactly seven answers correct?

B. What is the probability that the student will get no answers correct?

Math   Statistics-And-Probability   
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Answer #1

The probability that a answer done by guessing will be correct

Let X denotes the number of correct answers out of nine multiple-choice questions.

X ~ Binomial(n = 9, p = 0.25)

The probability mass function of X is

a) The probability that the student will get exactly seven answers correct

b) The probability that the student will get no answers correct

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