1. Suppose that the probability distribution for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as follows:
(a) In words, define the random variable \( X \).
(b) On average, how many years do you expect it to take for an individual to earn a B.S.?
\begin{tabular}{|l|l|}
\hline\( x \) & \( P(x) \) \\
\hline 3 & 0.05 \\
\hline 4 & 0.40 \\
\hline 5 & 0.30 \\
\hline 6 & 0.15 \\
\hline 7 & 0.10 \\
\hline
\end{tabular}