HSS.MD Tutor Intake - Random Variables, Expected Value, and Decisions

Two fair coins are tossed and $X$ is the number of heads. Which
statement correctly describes $X$?

For a family of three children, let $X$ be the number of girls. The
expected value is $E(X) = 1.5$. What does this tell you?

A survey of 200 households records the number of cars per household.
The category "2 cars" occurs 66 times. What probability $P(X = 2)$
should you assign from this empirical data? Give a decimal.

You want to pick one of three prizes fairly using the numbers 1 to
100 from a random number generator. Which mapping is fair?

Two fair coins are tossed and $X$ is the number of heads. Each of the
four outcomes (HH, HT, TH, TT) is equally likely. What is $P(X = 1)$?
Give a decimal or fraction.

A spinner pays 1, 1, 1, or 10 points on four equally likely regions,
so $P(X = 1) = \frac{3}{4}$ and $P(X = 10) = \frac{1}{4}$. Compute the
expected value $E(X)$.

On a 5-question multiple-choice quiz with 4 choices each, a student
guesses every answer, so each question is correct with probability
$\frac{1}{4}$. Which expression gives $P(X = 2)$, the probability of
exactly 2 correct?