# Statistics AP Review Probability by pptfiles

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```									Statistics AP Review Probability

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1. When tossing a die, what are the odds in favor of getting the number 2?

2. The sample space for throwing a die is S = {1, 2, 3, 4, 5, 6}. Suppose events A, B, C are defined as follows: A = Getting an even number = {2, 4, 6} B = Getting at least 5 = {5, 6} C = Getting at most 3 = {1, 2, 3} How do we use the terms defined yesterday to describe these events? (probability, complement, union, intersection, conditional event)

3. Seventy-five percent of people who purchase hair dryers are women. Of these women purchasers of hairdryers, 30 percent are over 50 years old. What is the probability that a randomly selected hair dryer purchaser is a woman over 50 years old?

4. An insurance agent knows that 70 percent of her customers carry adequate collision coverage. She also knows that of those who carry adequate coverage, 5 percent have been involved in accidents and of those who do not carry adequate coverage, 12 percent have been involved in accidents. If one of her clients gets involved in an auto accident, then what is the probability that the client the client does not have adequate insurance coverage?

5. The local Chamber of Commerce conducted a survey of one thousand randomly selected shoppers at a mall. For all shoppers, “gender of shopper” and “items shopping for” was recorded. The data collected is summarized in the following table: Items shopping for Gender Clothing Shoes Other Male 75 25 150 Female 350 230 170 Total 425 255 320 If a shopper is selected at random from this mall: a) what is the probability that the shopper is a female? Total 250 750 1000

b) what is the probability that the shopper is shopping for shoes?

c) what is the probability that the shopper is female shopping for shoes?

d) What is the probability that the shopper is shopping for shoes given that the shopper is a female?

e) Are the events “female” and “shopping for shoes” disjoint? Explain--

f) Are the events “female” and “shopping for shoes” independent? Explain—

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