Question 1: According to the U.S. Bureau of Labor Statistics, 75% of the women 25 through 49 of age participate in the Labor Force. Suppose 78% of the women in that age group are married. Suppose also that 61% of women 25 through 49 of age are married and are participating in the labor force.
A. What is the probability that a randomly selected woman in that age group is married or is participating in the labor force?
B. What is the probability that a randomly selected woman in that age group is married or is participating in the labor force but not both?
C. What is the probability that a randomly selected woman in that age group is neither married nor participating or is participating in the labor force.
Question 2: Use the values in the joint probability table to solve the equations given:
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D
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E
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F
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A
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.12
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.13
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.08
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B
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.18
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.09
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.04
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C
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.06
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.24
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.06
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a. P(EnB)=
b. P(CnF)=
c. P(EnD)=
Question 3: According to Reuters, a survey undertaken by the National Center for Health Statistics revealed that about 25% of U.S. households have only a cell phone (no land line). According to the FCC, 65% of the U.S. households have high speed Internet. Suppose of U.S. households having only a cell phone 80% have high speed Internet. A U.S. household is randomly selected.
A. What is the probability that the household has only a cell phone and has high-speed Internet?
B. What is the probability that the household has only a cell phone or has high speed internet?
C. What is the probability that the household has only a cell phone and does not have High speed internet?
D. What is the probability that the household does not have a cell phone and does not have high speed internet?
E. What is the probability that the household does not have a cell phone and does have high speed internet?
Question 4: According to a survey published by ComPsych Corp. 54% of all workers read email while they are talking on the phone. Suppose that 20% of those who read email while they are on the phone write personal "to Do lists during meetings. Assuming that these figures are true for all workers, if a worker is randomly selected determine the following probabilities:
A. The worker reads email while talking on the phone and writes personal "to do " lists during meetings.
B. The worker does write personal "to do " lists given that he reads emails while talking on the phone.
C. The worker does not write personal "to do" lists and does read email while talking on the phone.
Question 5: Suppose 20% of the people in a city prefer Pepsi Cola as their soft drink of choice. If a random sample of six people is chosen the number of Pepsi drinkers could range from Zero to six. Shown here are the possible numbers of pepsi drinkers in a sample of six people and the probability of that number Pepsi drinkers occurring in the sample. Use the data to determine the mean number of Pepsi drinkers in a sample of six people in the city and compute the standard deviation.
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Number of Pepsi Drinkers
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Probability
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0
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0.262
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1
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0.393
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2
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0.246
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3
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0.082
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4
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0.015
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5
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0.002
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6
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0
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