Exam 6: Probability

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Two events A and B are said to be mutually exclusive if:

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You think you have a 90% chance of passing your next advanced financial accounting exam.This is an example of subjective approach to probability.

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Messenger Service Three messenger services deliver to a small town in Oregon.Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%.Their on-time rates are 80%, 60%, and 40% respectively.Define event O as a service delivers a package on time. -{Messenger Service Narrative} Calculate P(C and O).

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Suppose the probability that a person owns both a cat and a dog is 0.10.Also suppose the probability that a person owns a cat but not a dog is 0.20.The marginal probability that someone owns a cat is 0.30.

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Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone.If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a wireless phone is

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Which of the following is equivalent to P(A|B)?

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Which of the following statements is always correct?

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

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In general, a posterior probability is calculated by adding the prior and likelihood probabilities.

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If P(B) = .7 and P(A|B) = .7, then P(A and B) = 0.

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The conditional probability of event B given event A is denoted by P(A|B).

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Bayes' Law involves three different types of probabilities: 1) prior probabilities; 2) ____________________ probabilities; and 3) posterior probabilities.

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Predicting the outcome of a football game is using the subjective approach to probability.

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Julius and Gabe go to a show during their Spring break and toss a balanced coin to see who will pay for the tickets.The probability that Gabe will pay three days in a row is 0.125.

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Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent.The probability of the complement of the event (A and B) is:

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If A and B are independent, then P(A|B) = P(A) or P(B|A) = P(B).

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If events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs?

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If A and B are mutually exclusive events with P(A) = 0.75, then P(B):

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Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers.    Suppose that a customer is selected at random. -{Marital Status Narrative} Find the probability that the customer selected is a married female. Suppose that a customer is selected at random. -{Marital Status Narrative} Find the probability that the customer selected is a married female.

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Messenger Service Three messenger services deliver to a small town in Oregon.Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%.Their on-time rates are 80%, 60%, and 40% respectively.Define event O as a service delivers a package on time. -{Messenger Service Narrative} Calculate the probability that a package was delivered on time.

(Essay)
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