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## Binomial Distribution Probability example question

A multiple choice exam consists of 4 questions. Each question has 5 possible answers, exactly one of which is correct. Donald decides to guess all questions on the exam. What is the probability that he will answer exactly two questions correctly?

a)  0.1024

b)  0.9744

c)  0.2048

d)  0.1536

e)  0.0256

f)  none of the above

Solution to this Binomial Discrete Random Variable Distribution Probability practice problem is given in the video below!

## Hard Binomial Distribution Probability example problem

The efficacy of the mumps vaccine is about 80%; that is, 80% of those receiving the mumps vaccine will not contract the disease when exposed. Assume that each person’s response to the mumps is independent of another person’s response.

a) Find the probability that at least one exposed person will get the mumps if 10 people are exposed.

b) How many vaccinated people must be exposed to the mumps before the probability that at least one person will contract the disease is at least 0.95?

Solution to this Binomial Discrete Random Variable Distribution Probability practice problem is given in the video below!