Exam 6: Probability

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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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Prior probability is also called likelihood probability.

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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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An approach of assigning probabilities which assumes that all outcomes of the experiment are equally likely is referred to as the:

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NARRBEGIN: College Professorship College Professorship A Ph.D. graduate has applied for a job with two colleges: A and B. The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B. If she receives an offer from college B, she believes that she has an 80% chance of receiving an offer from college A. Let A = receiving an offer from college A, and let B = receiving an offer from college B.NARREND -{College Professorship Narrative} What is the probability that at least one college will make her an offer?

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NARRBEGIN: Business Majors Business Majors Suppose 30% of business majors major in accounting. You take a random sample of 3 business majors.NARREND -{Business Majors Narrative} What is the chance that at least one majors in accounting?

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

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

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The ____________________ of events A and B is the event that occurs when both A and B occur.

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There are situations where we witness a particular event and we need to compute the probability of one of its possible causes. ____________________ is the technique we use to do this.

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

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P(A) + P(B) = 1 for any events A and B that are mutually exclusive.

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In applying Bayes' Law, as the prior probabilities increase, the posterior probabilities decrease.

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If events A and B have nonzero probabilities, then they can be both independent and mutually exclusive.

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The ____________________ rule says that P(Ac) = 1- P(A).

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The intersection of two events A and B is the event that occurs when both A and B occur.

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We can use the joint and marginal probabilities to compute conditional probabilities, for which a formula is available.

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The collection of all possible events is called

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If two events are complements, their probabilities sum to ____________________.

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If the two events are mutually exclusive and collectively exhaustive, what is the probability that one or the other occurs?

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