Exam 4: Probability and Probability Distributions

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The probability that event A will not occur is denoted as P(Aˉ)P ( \bar { A } ) .

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Suppose A and B are mutually exclusive events where P(A)= 0.3 and P(B)= 0.4,then P(A and B)= 0.12.

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A function that associates a numerical value with each possible outcome of an uncertain event is called a

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The probabilities shown in a table with two rows, A1 and A2A _ { 1 } \text { and } A _ { 2 } And two columns, B1 and B2B _ { 1 } \text { and } B _ { 2 } ,are as follows: P(A1 and B1)=.10P \left( A _ { 1 } \text { and } B _ { 1 } \right) = .10 , P(A1 and B2)=.30P \left( A _ { 1 } \text { and } B _ { 2 } \right) = .30 , P(A2 and B1)=.05P \left( A _ { 2 } \text { and } B _ { 1 } \right) = .05 ,and P(A2 and B2)=.55P \left( A _ { 2 } \text { and } B _ { 2 } \right) = .55 )Then P(A1B2)P \left( A _ { 1 } \mid B _ { 2 } \right) ,calculated up to two decimals,is

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Which of the following best describes the concept of probability?

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If P(A)= 0.25 and P(B)= 0.65,then P(A and B)is:

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Two events are said to be independent when knowledge of one event is of no value when assessing the probability of the other.

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Conditional probability is the probability that an event will occur,with no other events taken into consideration.

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If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?

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The formal way to revise probabilities based on new information is to use:

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If two events are collectively exhaustive,what is the probability that both occur at the same time?

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Suppose that after graduation you will either buy a new car (event A)or take a trip to Europe (event B).Events A and B are mutually exclusive.

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Suppose A and B are mutually exclusive events where P(A)= 0.2 and P(B)= 0.5,then P(A or B)= 0.70.

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The temperature of the room in which you are writing this test is a continuous random variable.

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The multiplication rule for two events A and B is: P(A and B)= P(A|B)P(A).

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Subjective probability is the probability that a given event will occur,given that another event has already occurred.

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The law of large numbers is relevant to the estimation of

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The number of cars produced by GM during a given quarter is a continuous random variable.

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You think you have a 90% chance of passing your statistics class.This is an example of subjective probability.

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Which of the following statements are true?

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