Question

21-A particular shoe franchise knows that its stores will not show a profit unless they gross over $940,000

per year. Let A be the event that a new store grosses over $940,000 its first year. Let B be the event that a store grosses over $940,00 its second year. The franchise has an administrative policy of closing a new store if it does not show a profit in either of the first 2 years. The accounting office at the franchise provided the following information: 69% of all the franchise stores show a profit the first year; 75% of all the franchise stores show a profit the second year (this includes stores that did not show a profit the first year); however, 83% of the franchise stores that showed a profit the first year also showed a profit the second year. Compute the following. (Enter your answers to four decimal places.)

(a)    P(A)

(b)    P(B)

(c)    P(B | A)

(d)    P(A and B)

(e)    P(A or B)

(f)    What is the probability that a new store will not be closed after 2 years?

What is the probability that a new store will be closed after 2 years?

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25-

There are nine wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are nine choices for the first wire, eight for the second wire, seven for the third wire, etc.) 

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26-

Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has two fertilizer types, three temperature zones, and three water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.

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27-

Compute P_7,2. 

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