Question

1. A student takes a multiple-choice examination with 25 questions. Each question has four possible answers (A, B, C, or D). Unfortunately, the student did not prepare for the examination, so they “guessed” at random on each question. SET UP, meaning PLUG NUMBERS in to EACH TERM but do NOT SOLVE, the formula to determine the probability the student earns between 76% and 84%, inclusive, on the examination.

Answer 1

Solution:

The probability of getting an answer right is

Therefore, we have to find

Using the binomial probability formula, we have:

  

  

Therefore, the probability the student earns between 76% and 84% inclusive, on the examination is