A Local Unemployment Office Keeps Track of the Number of New

question 9

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.

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Definitions:

Soluble

Capable of being dissolved in a solvent, typically water, to form a solution.

Apoptosis

A programmed cell death process that enables organisms to control cell growth and eliminate cells that are damaged or no longer needed.

Vessel Elements

Components of xylem tissue in plants, forming tubes that transport water and minerals from the roots throughout the plant.

Tracheids

Water-conducting cells in the xylem of vascular plants, characterized by tapered ends and thick, lignified walls.