Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St
Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St
9th Edition
ISBN: 9781259198946
Author: Bluman, Allan
Publisher: McGraw-Hill Science/Engineerin
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Chapter 14.3, Problem 1AC

Simulations

Answer the following questions:

1. What is the definition of a simulation technique?

2. Have simulation techniques been used for very many years?

3. Is it cost-effective to do simulation testing on some things such as airplanes or automobiles?

4. Why might simulation testing be better than real-life testing? Give examples.

5. When did physicists develop computer simulation techniques to study neutrons?

6. When could simulations be misleading or harmful? Give examples.

7. Could simulations have prevented previous disasters such as the Hindenburg or the 1986 Space Shuttle disaster?

8. What discipline is simulation theory based on?

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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).
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?

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