Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per 1000 families). Working with counselors, a researcher developed the following probability distribution for x= the number of new clients for counseling for 2021.  x    f(x) 10  0.05 20  0.10 30  0.10 40  0.20 50  0.35 60  0.20 i. Compute the expected value and variance of x.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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Assume, North Origano, is a country with highest domestic violence cases (approximately
5 cases per 1000 families). Working with counselors, a researcher developed the following probability distribution for x= the number of new clients for counseling for 2021.
 x    f(x)
10  0.05
20  0.10
30  0.10
40  0.20
50  0.35
60  0.20

i. Compute the expected value and variance of x.

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,