a project is graded on a scale of 1 to 5. if the random variable, x, is the project grade, what is the mean…

Answer:

3

Explanation:

Step1: Recall mean formula

The mean $\mu$ of a discrete - probability distribution is $\mu=\sum_{i}x_ip(x_i)$, where $x_i$ are the possible values of the random variable and $p(x_i)$ are their corresponding probabilities.

Step2: Identify values from the graph

From the graph: When $x = 1$, $p(1)=0.1$; when $x = 2$, $p(2)=0.2$; when $x = 3$, $p(3)=0.4$; when $x = 4$, $p(4)=0.2$; when $x = 5$, $p(5)=0.1$.

Step3: Calculate the mean

$\mu=(1\times0.1)+(2\times0.2)+(3\times0.4)+(4\times0.2)+(5\times0.1)$ $=0.1 + 0.4+1.2 + 0.8+0.5$ $=3$