A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the probability for the value of x = 5. $$\begin{array} { c | c c c c c }
\mathrm { x } & 2 & 3 & 5 & 8 & 10 \
\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & ? ? ? & 0.30 & 0.10
\end{array}$$
A)0.7
B)0.1
C)0.2
D)0.3

Question

A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the probability for the value of x = 5. $$\begin{array} { c | c c c c c } 
\mathrm { x } & 2 & 3 & 5 & 8 & 10 \
\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & ? ? ? & 0.30 & 0.10
\end{array}$$
A)0.7
B)0.1
C)0.2
D)0.3

Quizplus · Accepted Answer

The sum of all probabilities must equal 1. Given probabilities are 0.10, 0.20, 0.30, and 0.10. The missing probability for x = 5 is 1 - (0.10 + 0.20 + 0.30 + 0.10) = 0.30.

A Discrete Random Variable X Can Assume Five Possible Values