Exam 4: Probability and Probability Distributions

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Two or more events are said to be exhaustive if one of them must occur.

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The probability that event A will not occur is denoted as The probability that event A will not occur is denoted as   . .

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What is the probability that a respondent chosen at random is a male?

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What is the probability a randomly selected patron is a female?

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Suppose a randomly selected patron prefers beer.What is the probability the patron is a male?

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If P(A and B)= 1,then A and B must be collectively exhaustive.

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

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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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What is the probability of observing the sale of at least one brand 1 bat on a given day at this sporting goods store?

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If a new pipeline will be constructed in the event that all three wells are successful,what is the probability that the pipeline will be constructed?

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Suppose a randomly selected patron is a female.What is the probability the patron prefers beer?

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

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Calculate the joint probabilities of Calculate the joint probabilities of   and   . and Calculate the joint probabilities of   and   . .

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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 joint probabilities shown in a table with two rows, The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and two columns, The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is ,are as follows: P( The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is )= .10,P( The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is )= .30,P( The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is )= .05,and P( The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is and The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is )= .55.Then P( The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is | The joint probabilities shown in a table with two rows,   and   and two columns,   and   ,are as follows: P(   and   )= .10,P(   and   )= .30,P(   and   )= .05,and P(   and   )= .55.Then P(   |   ),calculated up to two decimals,is ),calculated up to two decimals,is

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If two events are independent,what is the probability that they both occur?

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Find the marginal distribution of Y.What does this distribution tell you?

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If A and B are any two events with P(A)= .8 and P(B| If A and B are any two events with P(A)= .8 and P(B|   )= .7,then P(   and B)is )= .7,then P( If A and B are any two events with P(A)= .8 and P(B|   )= .7,then P(   and B)is and B)is

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Suppose A and B are two events where P(A)= 0.5,P(B)= 0.4,and P(A and B)= 0.2,then P(B/A)= 0.5.

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What is the probability that a respondent chosen at random is a female and enjoys shopping for clothing?

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