Question

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

Answer 1

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.

Please contact before rating up will be obliged to you for your generous support thank you.