The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution.

$\begin{array} { c | c | c | c | c | c | c }
\boldsymbol { x } & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \boldsymbol { P } ( \boldsymbol { x } ) & 0.10 & 0.25 & 0.30 & 0.18 & 0.07 & 0.10
\end{array}$

Compute the mean $\mu _ { x ^ { * } }$
A) 0.36
B) 2.17
C) 0.17
D) 0.43

Question

The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution.

$\begin{array} { c | c | c | c | c | c | c } 
\boldsymbol { x } & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \boldsymbol { P } ( \boldsymbol { x } ) & 0.10 & 0.25 & 0.30 & 0.18 & 0.07 & 0.10
\end{array}$

Compute the mean $\mu _ { x ^ { * } }$
A) 0.36
B) 2.17
C) 0.17
D) 0.43

Quizplus · Accepted Answer

The mean $\mu_{x^{*}}$ of a discrete random variable is calculated by summing the products of each value of the random variable and its corresponding probability. For this distribution, the mean is calculated as follows: $0(0.10) + 1(0.25) + 2(0.30) + 3(0.18) + 4(0.07) + 5(0.10) = 0 + 0.25 + 0.60 + 0.54 + 0.28 + 0.50 = 2.17$.

The Number of Customers in a Line at a Supermarket