Probability Assignment
1. Given the following values, determine the missing probability values
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Multiple TV Sets
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Yes
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No
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1. What we know:
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Yes
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0.45
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0.52
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P(D)
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0.52
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Digital Cable
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No
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P(M)
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0.84
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0.84
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1
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P(D Intersect M)
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0.45
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Solve the following probability questions using the appropriate formula or rule. D demonstrates Digital Cable and M demonstrates Multiple TV sets.
A. P(D ∪ M) =
B. P (NotD) = P(Not D ∩ M) = P(Not D ∪ M) =
C. P(NM) = P(D ∩ NM) = P(D ∪ NM) =
D. P(ND ∩ NM) =
P(ND ∪ NM) =
2. Given the following values, determine the missing probability values.
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c
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d
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e
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f
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total
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a
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5
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11
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16
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8
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B
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2
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7
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Total
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14
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21
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Solve the following probability questions using the appropriate formula or rule.
a) P(A ∩ E) =
b) P(D ∩ B) =
c) P(D ∩ E) =
d) P(A ∩ B) =
3. Fortune magazine publishes an annual list of the 500 largest companies in the United States. The corporate headquarters for the 500 companies are located in 38 different states The following table shows the eight states with the largest number of Fortune 500 companies (Money/CNN website, May 12, 2012).
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State
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Number of Companies
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California
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53
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Illinois
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32
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New Jersey
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21
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New York
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50
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Ohio
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28
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Pennsylvania
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23
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Texas
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52
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Virginia
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24
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Suppose one of the 500 companies is selected at random for a follow-up questionnaire.
a. What is the probability that the company selected has its corporate headquarters in California?
b. What is the probability that the company selected has its corporate headquarters in California, New York, or Texas?
c. What is the probability that the company selected has its corporate headquarters in one of the eight states listed above?
Format your assignment according to the following formatting requirements:
1. The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.
2. The response also includes a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.
3. Also include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.