There are 4,000 undergraduates registered at a certain college. Of them, 364 are taking one course, 496 are taking two courses, 460 are taking three courses, 1,512 are taking four courses, 1,056 are
Taking five courses, and 112 are taking six courses. Let X be the number of courses taken by a
Student randomly sampled from this population. Find the probability distribution of X.

A)$\begin{array} { c | c | c | c | c | c | c }
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.1120 & 1.0560 & 1.5120 & 0.4600 & 0.4960 & 0.3640
\end{array}$
B)$\begin{array} { c | c | c | c | c | c | c }
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.3640 & 0.4960 & 0.4600 & 1.5120 & 1.0560 & 0.1120
\end{array}$
C)$\begin{array} { c | c | c | c | c | c | c }
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.0280 & 0.2640 & 0.3780 & 0.1150 & 0.1240 & 0.0910
\end{array}$
D) $\begin{array} { c | c | c | c | c | c | c }
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.0910 & 0.1240 & 0.1150 & 0.3780 & 0.2640 & 0.0280
\end{array}$

Question

There are 4,000 undergraduates registered at a certain college. Of them, 364 are taking one course, 496 are taking two courses, 460 are taking three courses, 1,512 are taking four courses, 1,056 are
Taking five courses, and 112 are taking six courses. Let X be the number of courses taken by a
Student randomly sampled from this population. Find the probability distribution of X.

A)$\begin{array} { c | c | c | c | c | c | c } 
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.1120 & 1.0560 & 1.5120 & 0.4600 & 0.4960 & 0.3640
\end{array}$
B)$\begin{array} { c | c | c | c | c | c | c } 
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.3640 & 0.4960 & 0.4600 & 1.5120 & 1.0560 & 0.1120
\end{array}$
C)$\begin{array} { c | c | c | c | c | c | c } 
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.0280 & 0.2640 & 0.3780 & 0.1150 & 0.1240 & 0.0910
\end{array}$
D) $\begin{array} { c | c | c | c | c | c | c } 
x & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.0910 & 0.1240 & 0.1150 & 0.3780 & 0.2640 & 0.0280
\end{array}$

Quizplus · Accepted Answer

The probability distribution of X is found by dividing the number of students taking each number of courses by the total number of students. For example, for students taking one course, the probability is $364 / 4000 = 0.091$. Following this method for each number of courses gives the probabilities listed in option D.

There Are 4,000 Undergraduates Registered at a Certain College B)