Question

# 17. The probability of a student randomly guessing the answers to 25 multiple choice questions is...

17. The probability of a student randomly guessing the answers to 25 multiple choice
questions is best modeled with the _______.
A. normal distribution
B. binomial distribution
C. Poisson distribution
D. exponential distribution

It is best modelled with Binomial Distribution.

It is Binomial distribution because the student is randomly guessing the answers and the options are limited let us say 4 options are provided so a limited choice is provided. If we assume x is the number of correct answers then, x is a binomial random variable because

• Questions are independent as we are guessing
• In every question there is only two outcomes correct or incorrect
• Number of option is fixed
• The probability of being correct in all questions is constant.

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