Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 20, Problem 4SR

a.

To determine

Prove that the expected payoff for Texas Electronics for the brother’s set of probabilities is $1,450.

b.

To determine

Prove that the expected payoff for Kayser Chemicals for the cousin’s set of probabilities is $1,700.

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A particular "homogeneous" travel accident insurance portfolio consists of 5,000 policies issued for a period of one year. The probability that a randomly chosen insured will require the reimbursement of her/his losses is 3%, and if a loss event has occurred, then the amount of the loss is a uniform r.v. § ranging from $0 to $5,000. Amounts of the payoffs for different policies are independent. Finish the following Questions: 1-8. Numerical answers below may be rounded. Advices: 1) It make sense to set $100 as a unit of money and recalculate the answer at the very end of calculations. (b-a) ² 12 2) Recollect that for a distribution uniform on [a,b], the mean is and the variance is a+b 2 2 3) When calculating, do it accurately (certainly you can use calculators); just in case, double check.
Mike, a lumber wholesaler, is considering the purchase of a (railroad) car- load of varied dimensional lumber. He calculates that the probabilities of reselling the load for $10,000, $9000, and for $8000 are 0.22, 0.33, and 0.45 respectively. In order to ensure an expected profit of $3000, how much can Mike pay for the load
An individual who owns the ice cream concession at a sporting event can expect to net $600 on the sale of ice cream if the day is sunny, but only $300 if it is cloudy, and $100 if it rains. The respective probabilities for those events are 0.6, 0.3, and 0.1. What is his expected  profit?
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