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Business Math: Statistical Problems

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** Please see the attached file for the complete problem description **
Mathematical symbols only appear in the attached file.

Need answers to a. and b

Let A and B be two events such that (please see the attached file) and (please see the attached file).
(a) Determine (please see the attached file), given that and are mutually exclusive .
(b) Determine (please see the attached file), given that and are independent .
Do not round your responses.
a.(please see the attached file)
b.(please see the attached file)
Problem (2)
Suppose that and are independent events such that and .
(please see the attached file)
Find and (please see the attached file)
Problem (3)
Which of the following variables are best thought of as continuous, which discrete? Indicate your choice for each by checking the appropriate column. Discrete or Continuous

Variable Discrete Continuous
a. The number of children in a household
b. The temperature of a burrito served to a
Customer in a local Mexican restaurant.
c. The number of insects feeding on a tree.
d. The number of personal telephone calls
made tomorrow at Bingley Corporation

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Benjamin and Olivia are putting a new floor in their kitchen. To get the floor up to the desired height, they need to add 1 1/8ft of sub floor. They can do this in one of two ways. They can put 1/2in. sheet on top of 5/8in. board (note that the total would be 9/8ft or 1 1/8ft). They could also put 3/8in. board on top of 3/4in. sheet. The table below gives the price for each sheet of plywood from a Home Depot store on 1/15/04.

Thickness cost for a 4ft x 8ft sheet.

1/8in. $9.15
1/4in. $13.05
3/8in. $14.99
1/2in. $17.88
5/8in. $19.13
3/4in. $21.36
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1. What is the combined price for a 1/2in. sheet and a 5/8in. sheet?

2. What is the combined price for a 3/8in. sheet and a 3/4in. sheet?

3. What other combination of sheets of plywood yields the needed 1 1/8in. thickness?

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