Question: Negative Binomial distribution Suppose a student has a 50% chance of scoring a perfect score on an exam* with randomly selected questions. The student has

Negative Binomial distribution

Suppose a student has a 50% chance of scoring a perfect score on an exam* with randomly selected questions. The student has to repeatedly take the exam* until he/she achieves three perfect scores.

A) What is the probability that the student will have the three perfect scores with at most 4 failures?

Poisson distribution

b) What is the probability that the professor will have to answer at most 8 questions in a given day?

c) What is the probability that the professor will have to answer between 6 and 12 questions (inclusive) in a given day?

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