A manager asked her employees how many times they had given blood in the last year. The results of thesurvey are given below. The random variable x represents the number of times a person gave blood and P(x)represents the probability of selecting an employee who had given blood that percent of the time. What is themean number of times a person gave blood based on this survey? $$\begin{array} { | c | c | c | c | c | c | c | c | }
\hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.30 & 0.25 & 0.20 & 0.12 & 0.07 & 0.04 & 0.02 \
\hline
\end{array}$$
A) 1.6
B) 3.0
C) 2.0
D) 0.14

Question

A manager asked her employees how many times they had given blood in the last year. The results of thesurvey are given below. The random variable x represents the number of times a person gave blood and P(x)represents the probability of selecting an employee who had given blood that percent of the time. What is themean number of times a person gave blood based on this survey? $$\begin{array} { | c | c | c | c | c | c | c | c | } 
\hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 \
\hline P ( x ) & 0.30 & 0.25 & 0.20 & 0.12 & 0.07 & 0.04 & 0.02 \
\hline
\end{array}$$
A) 1.6
B) 3.0
C) 2.0
D) 0.14

Quizplus · Accepted Answer

To find the mean number of times a person gave blood, multiply each value of $x$ by its corresponding probability $P(x)$ and sum the results: $$ \text{Mean} = \sum xP(x) = (0)(0.30) + (1)(0.25) + (2)(0.20) + (3)(0.12) + (4)(0.07) + (5)(0.04) + (6)(0.02) = 1.6. $$

A Manager Asked Her Employees How Many Times They Had