Find the expected value of the random variable. Round to the nearest cent unless stated otherwise.
-The probability distribution below describes the number of thunderstorms that a certain town may experience during the month of August. Let X represent the number of thunderstorms in August. $$\begin{array} { l | l l l l }
\text { Number of storms } & 0 & 1 & 2 & 3 \
\hline \mathrm { P } ( X = \mathrm { X } ) & 0.1 & 0.2 & 0.5 & 0.2
\end{array}$$ What is the expected value of thunderstorms for the town each August? Round the answer to one
Decimal place.
A)2.0
B)1.5
C)1.9
D)1.8

Question

Find the expected value of the random variable. Round to the nearest cent unless stated otherwise.
-The probability distribution below describes the number of thunderstorms that a certain town may experience during the month of August. Let X represent the number of thunderstorms in August. $$\begin{array} { l | l l l l } 
\text { Number of storms } & 0 & 1 & 2 & 3 \
\hline \mathrm { P } ( X = \mathrm { X } ) & 0.1 & 0.2 & 0.5 & 0.2
\end{array}$$ What is the expected value of thunderstorms for the town each August? Round the answer to one
Decimal place. 
A)2.0
B)1.5
C)1.9
D)1.8

Quizplus · Accepted Answer

The expected value $E(X)$ of a random variable $X$ is calculated by summing the products of each outcome and its probability: $E(X) = \sum [x \cdot P(X=x)]$. For this distribution, $E(X) = (0 \cdot 0.1) + (1 \cdot 0.2) + (2 \cdot 0.5) + (3 \cdot 0.2) = 0 + 0.2 + 1 + 0.6 = 1.8$.

Find the Expected Value of the Random Variable What Is the Expected Value of Thunderstorms for the Town