Exam 4: Probability

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An experiment is a process that produces outcomes.

(True/False)
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If the occurrence of one event precludes the occurrence of another event, then the two events are independent.

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If X and Y are mutually exclusive events, then if X occurs, ___.

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If the CEO of Apple wanted to know the probability that if someone owned an Apple computer, they would also own a different brand computer, this would be an example of a __________ probability.

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The table below provides summary information about students in a class.The gender of each individual and the major is given. The table below provides summary information about students in a class.The gender of each individual and the major is given.   A student is randomly selected from this group, and it is found that the student is majoring in finance.What is the probability that the student is a male? A student is randomly selected from this group, and it is found that the student is majoring in finance.What is the probability that the student is a male?

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Buyers of television sets are offered a choice of one of three different styles.There are 9 different outcomes if two customers make a selection.

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Meagan Dubean manages a portfolio of 200 common stocks.Her staff classified the portfolio stocks by 'industry sector' and 'investment objective.' Meagan Dubean manages a portfolio of 200 common stocks.Her staff classified the portfolio stocks by 'industry sector' and 'investment objective.'   Which of the following statements is NOT true? Which of the following statements is NOT true?

(Multiple Choice)
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Given P (A)= 0.45, P (B)= 0.30, P (A \cap B)= 0.05.Which of the following is true?

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If two events are mutually exclusive, then their joint probability is always zero.

(True/False)
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Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course.It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and accounting.Find P(S).

(Multiple Choice)
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An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the following joint probability table that was developed from the dealer's records for the previous year what is P(Male)? An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the following joint probability table that was developed from the dealer's records for the previous year what is P(Male)?

(Multiple Choice)
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Which of the following statements is not true regarding probabilities:

(Multiple Choice)
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A probability of an event will have a value ranging from -1 to +1.

(True/False)
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A market research firms conducts studies regarding the success of new products.The company is not always perfect in predicting the success.Suppose that there is a 50% chance that any new product would be successful (and a 50% chance that it would fail).In the past, for all new products that ultimately were successful, 80% were predicted to be successful (and the other 20% were inaccurately predicted to be failures).Also, for all new products that were ultimately failures, 70% were predicted to be failures (and the other 30% were inaccurately predicted to be successes).For any randomly selected new product, what is the probability that the market research firm would predict that it would be a success?

(Multiple Choice)
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Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and finance.A student is randomly selected, and it is found that the student is enrolled in finance.What is the probability that this student is also enrolled in statistics?

(Multiple Choice)
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Meagan Dubean manages a portfolio of 200 common stocks.Her staff classified the portfolio stocks by "industry sector" and "investment objective." Meagan Dubean manages a portfolio of 200 common stocks.Her staff classified the portfolio stocks by industry sector and investment objective.   If a stock is selected randomly from Meagan's portfolio what is P(Growth)? If a stock is selected randomly from Meagan's portfolio what is P(Growth)?

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The probability of an event A is equal to the sum of the probabilities of the sample points in A.

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A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%, what is the probability that someone lives in Michigan and likes oatmeal?

(Multiple Choice)
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An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the following joint probability table that was developed from the dealer's records for the previous year what is P(SUV)? ___________. An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the following joint probability table that was developed from the dealer's records for the previous year what is P(SUV)? ___________.

(Multiple Choice)
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Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course.It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and accounting.Find the probability that a student is in accounting and is also in statistics.

(Multiple Choice)
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