find the expected value for the random variable whose probability function graph is displayed here.
what is the expected value of the random variable?
(type an integer or a decimal.)

Question

Accepted Answer

# Explanation:
## Step1: Identify the values of $x$ and $P(x)$
From the graph:
When $x = 1$, $P(1)=0.25$; when $x = 2$, $P(2)=0.1$; when $x = 3$, $P(3)=0.15$; when $x = 4$, $P(4)=0.05$; when $x = 5$, $P(5)=0.45$

## Step2: Use the formula for expected value $E(X)=\sum_{i}x_{i}P(x_{i})$
$$
\begin{align*}
E(X)&=(1\times0.25)+(2\times0.1)+(3\times0.15)+(4\times0.05)+(5\times0.45)\
&=0.25 + 0.2+0.45 + 0.2+2.25\
&=3.35
\end{align*}
$$

# Answer:
$3.35$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the values of \(x\) and \(P(x)\)

Step2: Use the formula for expected value \(E(X)=\sum_{i}x_{i}P(x_{i})\)

Answer: