Question

members of a step team perform dances involving stepping and clapping in unison. the random variable x represents the number of years of stepping experience that each member of the team has. the probability distribution, p(x), for the random variable x is shown on the graph below. what is the mean of the probability distribution?

Explanation:

Step1: Recall mean formula

$\mu=\sum_{x}x\cdot P(x)$

Step2: Identify values

From the graph, $P(1) = 0.3$, $P(2)=0.4$, $P(3)=0.1$, $P(5)=0.2$, $P(4) = 0$.

Step3: Calculate mean

$\mu=(1\times0.3)+(2\times0.4)+(3\times0.1)+(4\times0)+(5\times0.2)=2.4$

Answer:

$2.4$