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:

Equal Rights

The principle of granting all individuals the same legal rights, privileges, and opportunities, regardless of distinctions such as race, gender, or religion.

African-Americans

Refers to citizens or residents of the United States who have ancestry from any of the black racial groups of Africa.

Racism

Prejudice, discrimination, or antagonism directed against individuals of different races based on the belief that one's own race is superior.

Abolitionists

Activists who campaigned for the immediate end of slavery and the emancipation of slaves, particularly prominent in the 19th century.