The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the mean $\mu _ { x }$

$\begin{array} { c | c c c c c }
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.06 & 0.66 & 0.16 & 0.09 & 0.03
\end{array}$

A) 1.37
B) 0.71
C) 1.43
D) 0.84

Question

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the mean $\mu _ { x }$

$\begin{array} { c | c c c c c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.06 & 0.66 & 0.16 & 0.09 & 0.03
\end{array}$

A) 1.37
B) 0.71
C) 1.43
D) 0.84

Quizplus · Accepted Answer

The mean $\mu _ { x }$ of a probability distribution is calculated by summing the products of each value of x and its corresponding probability P(x). Thus, $\mu _ { x } = (0)(0.06) + (1)(0.66) + (2)(0.16) + (3)(0.09) + (4)(0.03) = 0 + 0.66 + 0.32 + 0.27 + 0.12 = 1.37.$

The Following Table Presents the Probability Distribution of the Number μx\mu _ { x }μx​

The Following Table Presents the Probability Distribution of the Number $\mu _ { x }$