In history class, colin takes a multiple-choice quiz. there are 10 questions. each question has five possible answers. to the nearest percentage, what is the probability that colin will get exactly 3 questions correct if he guesses an answer to each question?

Step-by-step explanation:

If the discrete random variable X represents the number of correct Colin responses then X can be represented by a binomial distribution with parameters p, n, x.

In this case p represents the probability that colin gets a correct answer, n represents the number of questions.

So the probability that Colin receives x correct questions is:

Where:

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}