Exam 3: Probability

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis. -What is the probability that a programmer who takes aspirin on a daily basis has wrist pain?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: James' Surfboard Shop makes surfboards by hand.The number of surfboards that James makes during a week depends on the wave conditions.James has estimated the following probabilities for surfboard production for the next week. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: James' Surfboard Shop makes surfboards by hand.The number of surfboards that James makes during a week depends on the wave conditions.James has estimated the following probabilities for surfboard production for the next week.     Let A be the event that James produces more than seven surfboards.Let B be the event that James produces exactly six surfboards. -What is the probability of the intersection of events A and B? Why? Let A be the event that James produces more than seven surfboards.Let B be the event that James produces exactly six surfboards. -What is the probability of the intersection of events A and B? Why?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: James' Surfboard Shop makes surfboards by hand.The number of surfboards that James makes during a week depends on the wave conditions.James has estimated the following probabilities for surfboard production for the next week. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: James' Surfboard Shop makes surfboards by hand.The number of surfboards that James makes during a week depends on the wave conditions.James has estimated the following probabilities for surfboard production for the next week.     Let A be the event that James produces more than seven surfboards.Let B be the event that James produces exactly six surfboards. -What is the probability of the complement of A? Let A be the event that James produces more than seven surfboards.Let B be the event that James produces exactly six surfboards. -What is the probability of the complement of A?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is   ∪ B? ∪ B?

(Multiple Choice)
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In a survey of 100 large corporations,it was found that 72% offer some form of tuition assistance plan for their workers.64% of the 100 corporations offer both a tuition assistance plan as well as provide dental insurance for dependents.What is the probability that a corporation that offers a tuition assistance plan also offers dental insurance for dependents?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A local real estate broker has collected data on the sales of 128 homes.She is interested in looking at the selling price of the house as well as the length of time the house was for sale.She prepared the following two-way table. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A local real estate broker has collected data on the sales of 128 homes.She is interested in looking at the selling price of the house as well as the length of time the house was for sale.She prepared the following two-way table.   -What proportion of all houses took 30 days or more to sell? -What proportion of all houses took 30 days or more to sell?

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If the odds in favor of an event happening are 1 to 2,then the probability that event A occurs is 0.5.

(True/False)
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If events A and B are mutually exclusive,then they must be independent.

(True/False)
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Let event A be that there are more than three defects and let event B be that there are four or fewer defects.Which of the following statements is true?

(Multiple Choice)
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The odds in favor of a particular event are given by the ratio of the probability of the event divided by the probability of its complement.

(True/False)
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The union of events A and B is given by all basic outcomes common to both A and B.

(True/False)
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Suppose you roll a pair of dice.Let A be the event that you roll an even number.Let B be the event that you roll an odd number.Which of the following statements is true?

(Multiple Choice)
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Which of the following is not an example of a random experiment?

(Multiple Choice)
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A gumball machine has six red gumballs,four blue gumballs,and three yellow gumballs.If you buy three gumballs,what is the probability that you get three different colors?

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The intersection of events A and B is given by all basic outcomes common to both A and B.

(True/False)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A1,A2,B1,B2.Let P(A1)= 0.40 ,P(B1 ∣ A1)= 0.60 and P(B1 ∣ A2)= 0.70 -What is P(B2 ∣ A1)?

(Essay)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A recent survey examined the working arrangements of married households.It was found that 88% of the households had at least one working member.In 20% of the households with the woman not working,the man also does not work.In 40% of households in which the man doesn't work,the woman also does not work. -What is the probability that both man and woman are not working?

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If events A and B are statistically independent,then the probability of their intersection is equal to the probability of event A multiplied by the probability of event B.

(True/False)
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Events A and B are said to be statistically independent if their union is the sample space.

(True/False)
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Are events A and B collectively exhaustive? Why?

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