LIND 18E STATISTICAL TECHNIQUES IN BUSIN
LIND 18E STATISTICAL TECHNIQUES IN BUSIN
18th Edition
ISBN: 9781264307746
Author: Lind
Publisher: McGraw Hil
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Chapter 8, Problem 31CE

(a)

To determine

To describe: The shape of the distribution of the sample mean.

(b)

To determine

To find: The standard error of the distribution of the sample mean.

(c)

To determine

To find: The proportion of the samples will have a mean useful life of more than 36 hours.

(d)

To determine

To find: The proportion of the samples will have a mean useful life greater than 34.5 hours.

(e)

To determine

To find: The proportion of the samples will have a mean useful life between 34.5 and 36.0 hours.

(f)

To determine

To find: The probability that the sampling error would be less than or more than 1.

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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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