Question: A math exam has 45 multiple choice questions, each with choices a to e. One student did not study and must guess on each question.

A math exam has 45 multiple choice questions, each with choices a to e. One student did not study and must guess on each question.

1. What are the mean and variance of this binomial distribution?

2. Estimate the probability that the student fails the exam i.e. gets 22 or fewer questions correct

3.gets five or more questions correct

4.gets between 9 and 18 questions (both inclusively) correct

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