Exam 6: Probability

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Construction Bids A construction company has submitted bids on two separate state contracts, A and B.The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B.Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B. -{Construction Bids Narrative} What is the probability that the company will win both contracts?

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Two events A and B are independent if P(A and B) = 0.

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The ____________________ rule is used to calculate the joint probability of two events.

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Suppose A and B are two independent events for which P(A) = 0.20 and P(B) = 0.60. a. Find P(A|B). b. Find P(B|A).

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Drunk Drivers Six hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below: Drunk Drivers Six hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below:    -{Drunk Drivers Narrative} If alcohol was not involved, what proportion of the accidents were multiple vehicle? -{Drunk Drivers Narrative} If alcohol was not involved, what proportion of the accidents were multiple vehicle?

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If P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, then P(A or B) is:

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Construction Bids A construction company has submitted bids on two separate state contracts, A and B.The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B.Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B. -{Construction Bids Narrative} If the company wins contract B, what is the probability that it will not win contract A?

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If an experiment consists of five outcomes with P(O1) = 0.10, P(O2) = 0.20, P(O3) = 0.30, P(O4) = 0.25, then P(O5) is

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Posterior probabilities can be calculated using the addition rule for mutually exclusive events.

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Which of the following statements is false?

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If A and B are independent events with P(A) = 0.60 and P(B) = 0.70, then P(A or B) equals:

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Two events A and B are said to be mutually exclusive if P(A and B) = 1.0.

(True/False)
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Certification Test A standard certification test was given at three locations.1,000 candidates took the test at location A, 600 candidates at location B, and 400 candidates at location C.The percentages of candidates from locations A, B, and C who passed the test were 70%, 68%, and 77%, respectively.One candidate is selected at random from among those who took the test. -{Certification Test Narrative} What is the probability that the selected candidate passed the test?

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GPA and Class A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random. GPA and Class A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random.    -{GPA and Class Narrative} What is the probability that the student has GPA over 3.0? -{GPA and Class Narrative} What is the probability that the student has GPA over 3.0?

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Bayes' Law says that P(A|B) = P(B|A)P(A).

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Cars Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below. Cars Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below.    -{Cars Narrative} Suppose you choose two families at random.What is the chance that they each own one car? (That means family A owns a car and family B owns a car.) -{Cars Narrative} Suppose you choose two families at random.What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)

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In the scenario of Bayes' Law, P(A|B) is a posterior probability, while P(B|A) is a(n) ____________________ probability.

(Short Answer)
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GPA and Class A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random. GPA and Class A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random.    -{GPA and Class Narrative} Are being in the upper class and having a GPA over 3.0 related? Explain. -{GPA and Class Narrative} Are being in the upper class and having a GPA over 3.0 related? Explain.

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Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks. Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.    -{Hobby Shop Sales Narrative} List the outcomes in the sample space. -{Hobby Shop Sales Narrative} List the outcomes in the sample space.

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If either event A or event B must occur, then A and B are mutually exclusive and collectively exhaustive events.

(True/False)
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