Question: 15. Jean forgot to study for an eight-question multiple choice quiz. Each question contains four possible answers. Jean will guess the answer to each question.

15. Jean forgot to study for an eight-question multiple choice quiz. Each question contains four possible answers. Jean will guess the answer to each question.

a) What is the probability that she will get only two questions correct?

b) What is the probability that she will pass?

c) What is the expected number of correct answers on the quiz?

d) Predict the shape of the probability histogram for this distribution. Explain your reasoning.

e) Describe how the graph will change if Jean feels that she has a 40% chance of guessing correctly on each question. f) Use technology to check your predictions to parts d) and e)

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