Chapter 16, Problem 12E

A student randomly guesses the answers to a four-question true-or-false quiz. The

observation is the student’s answer $\left(T\text{ or }F\right)$ for each question [see Exercise 2(b)]. Write

out the event described by each of the following statements as a set.

a. $E_1$: “the student answers $T$ to two out of the four questions.”

b. $E_2$: “the student answers $T$ to at least two out of the four questions.”

c. $E_3$: “the student answers $T$ to at most two out of the four questions.”

d. $E_4$: “the student answers $T$ to the first two questions.”