A random variable has the probability distribution table as shown. Calculate $P ( x \geq 5 )$ . $\begin{array} { | l | l | l | l | l | l | }
\hline \boldsymbol { x } & 1 & 3 & 5 & 7 & 9 \
\hline \boldsymbol { P } ( \boldsymbol { X } = \boldsymbol { x } ) & 0.2 & 0.1 & 0.3 & & 0.2 \
\hline
\end{array}$
A)0.4
B) 0.5
C) 0.2
D) 0.7
E) 0.8

Question

A random variable has the probability distribution table as shown. Calculate $P ( x \geq 5 )$ . $\begin{array} { | l | l | l | l | l | l | } 
\hline \boldsymbol { x } & 1 & 3 & 5 & 7 & 9 \
\hline \boldsymbol { P } ( \boldsymbol { X } = \boldsymbol { x } ) & 0.2 & 0.1 & 0.3 & & 0.2 \
\hline
\end{array}$  
A)0.4
B) 0.5
C) 0.2
D) 0.7
E) 0.8

Quizplus · Accepted Answer

To find $P(x \geq 5)$, we sum the probabilities for $x = 5, 7, \text{ and } 9$. Given $P(X=5) = 0.3$ and $P(X=9) = 0.2$, and knowing the total probability must sum to 1, we can calculate $P(X=7)$ as $1 - (0.2 + 0.1 + 0.3 + 0.2) = 0.2$. Therefore, $P(x \geq 5) = 0.3 + 0.2 + 0.2 = 0.7$.

A Random Variable Has the Probability Distribution Table as Shown P(x≥5)P ( x \geq 5 )P(x≥5)

A Random Variable Has the Probability Distribution Table as Shown $P ( x \geq 5 )$