Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 7, Problem 18CAP

(a)

To determine

Determine the value of the sample mean to be expected when the population mean is equal to 8.

(b)

To determine

Determine the value of the sample mean to be expected when the population mean is equal to 0.

(c)

To determine

Determine the value of the sample mean to be expected when the population mean is equal to 20.

(d)

To determine

Determine the value of the sample mean to be expected when the population mean is equal to .

(e)

To determine

Determine the value of the sample mean to be expected when the population mean is equal to .

(f)

To determine

Determine the value of the sample mean to be expected when the population mean is equal to 0.03.

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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00  :  x < 10.30  :  1≤x<30.40  :  3≤ x < 40.45  :  4≤ x <60.60  :  6≤ x < 121.00  :  12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
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