Sue Anne owns a medium-sized business.The probability model below describes the number of employees that may call in sick on any given day. $$\begin{array} { c | c c c c c }
\text { Number of Employees Sick } & 0 & 1 & 2 & 3 & 4 \
\hline \mathrm { P } ( \mathrm { X } = \mathrm { x } ) & 0.1 & 0.4 & 0.3 & 0.15 & 0.05
\end{array}$$ What is the expected value of the number of employees calling in sick each day?
A)2.00
B)1.00
C)1.65
D)1.70
E)1.75

Question

Sue Anne owns a medium-sized business.The probability model below describes the number of employees that may call in sick on any given day. $$\begin{array} { c | c c c c c } 
\text { Number of Employees Sick } & 0 & 1 & 2 & 3 & 4 \
\hline \mathrm { P } ( \mathrm { X } = \mathrm { x } ) & 0.1 & 0.4 & 0.3 & 0.15 & 0.05
\end{array}$$ What is the expected value of the number of employees calling in sick each day?
A)2.00
B)1.00
C)1.65
D)1.70
E)1.75

Quizplus · Accepted Answer

The expected value is calculated by multiplying each possible value by its probability and adding up the results. 
= (0 x 0.40) + (1 x 0.35) + (2 x 0.20) + (3 x 0.05)
= 0 + 0.35 + 0.40 + 0.15 
= 1.65

Therefore, the expected value of the number of employees calling in sick each day is 1.65.

Sue Anne Owns a Medium-Sized Business What Is the Expected Value of the Number of Employees