# Solving a Binomial Distribution Question

Please help with the following problem. Provide step by step calculations.

Looking for the steps to figuring out this problem. Should I use some form of a calculator?

Is this a binomial distribution question?

A student is taking a 10 question quiz. There are four possible answers to each question. The student decides to guess randomly on all 10 questions.

What is the probability the student will answer exactly six questions correctly?

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#### Solution Preview

Q: Is this a binomial distribution question?

A: Yes, this is a binomial distribution question!

Let X be the number of questions the student answered correctly. Then X follows a binomial distribution with n=10, p=0.25 (Since the probability s/he guessed it correctly is 1/4=0.25).

So,

(1) the probability the student will answer exactly 6 questions correctly is

P(X=6)=C(10, ...

#### Solution Summary

The following problem helps with a statistics problem. This solution provides steps to answering a binomial distribution question. Step by step calculations are given for the solution.