A high school student did not bother to read the questions on the math portion of the ACT... He randomly guessed on each of the 60 questions which had 5 options: a, b, c, d, e.
a. What is the probability that the student will get 15 questions correct? Provide your answer as a fraction or a value rounded to the nearest thousandth (i.e. three values after the decimal point).
b. What is the mean number of questions that he will get correct? Provide your answer as a value rounded to the nearest tenth (i.e. one value after the decimal point).
c. What is the standard deviation of the number of questions he will get correct? Provide your answer as a value rounded to the nearest tenth (i.e. one value after the decimal point).