Question

A test has 8 true/false questions. At least 5 questions must be answered correctly to pass the test. If a student guesses on each question, what is the probability that the student will pass the test? Round answer to three decimal places.

Answer 1

0.363

Explanation:

The binomial distribution can be used to solve this question

Let the random variable X follow a binomial distribution with n = 8 and p = 0.5

To find the answer, we can calculate:

`P(X\geq 5)\\\\=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.363`