Question

Jimmy has a quiz today that is multiple choice (a, b, c, or d) with ten questions, but he did not study, so he decides to randomly mark answers on his scantron without reading the questions.

a) Why should the number of questions Jimmy gets correct on the quiz follow a binomial distribution, to wit, what are the requirements to use a binomial distribution and how are they met in this scenario?

b) List the parameters that define this distribution along with their values.

c) What is the mean and standard deviation of this distribution?

d) What is the probability that Jimmy will get all the answers wrong?

e) What is the probability that Jimmy will get between 2 and 4 (inclusive) questions correct?

f) Jimmy needs to get at least 6 questions correct to get a passing grade. What is the probability of him passing this quiz?

Answer 1