A Local Unemployment Office Keeps Track of the Number of New

Essay

A local unemployment office keeps track of the number of new claims filed each day.
Based on the data collected, it determines that the following probability distribution
applies: $$\begin{array} { | c | c | } \hline \text { Number of Claims } & \text { Probability } \\\hline 0 & .05 \\\hline 1 & .15 \\\hline 2 & .25 \\\hline 3 & .45 \\\hline 4 & .10 \\\hline\end{array}$$
A. What is the expected number of new claims filed each day?
b. What is the standard deviation in the number of new claims filed each day?
c. What is the expected number of new claims filed each week? Assume the
unemployment office is open 5 days a week.
d. What is the standard deviation in the number of new claims filed each week? Assume
the unemployment office is open 5 days a week.