Last year’s Intro to Bio final contained 20 multiple-choice questions, each weighted equally. The average was 67%. Consider the binomial variable x representing the number of questions correct on a given test. (a) Find p and n. What is the mean and standard deviation? (b) Can the binomial random variable be approximated using a normal random variable? Explain your answer. If so, calculate the probability of any given student getting 15 or more questions correct. If not, calculate this probability with the binomial distribution.

MATLAB: An Introduction with Applications
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Last year’s Intro to Bio final contained 20 multiple-choice questions, each weighted equally. The average was 67%. Consider the binomial variable x representing the number of questions correct on a given test.

(a) Find p and n. What is the mean and standard deviation?

(b) Can the binomial random variable be approximated using a normal random variable? Explain your answer. If so, calculate the probability of any given student getting 15 or more questions correct. If not, calculate this probability with the binomial distribution.

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