Exam 4: Probability and Probability Distributions

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The time students spend in a computer lab during one day is an example of a continuous random variable.

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Given that events A and B are independent and that P(A)= 0.8 and P(B/A)= 0.4,then P(A and B)= 0.32.

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There are two types of random variables,they are

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The number of people entering a shopping mall on a given day is an example of a discrete random variable.

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Two or more events are said to be mutually exclusive if at most one of them can occur.

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

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If A and B are any two events with P(A)= .8 and P(B|A)= .4,then the joint probability of A and B is

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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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When we wish to determine the probability that at least one of several events will occur,we would use the addition rule.

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Football teams toss a coin to see who will get their choice of kicking or receiving to begin a game.The probability that given team will win the toss three games in a row is 0.125.

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

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If P(A and B)= 0,then A and B must be collectively exhaustive.

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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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Two events A and B are said to mutually be exclusive if P(A and B)= 0.

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

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When two events are independent,they are also mutually exclusive.

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A random variable is a function that associates a numerical value with each possible outcome of a random phenomenon.

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If events A and B are mutually exclusive,then the probability of both events occurring simultaneously is equal to

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Probability is a number between 0 and 1,inclusive,which measures the likelihood that some event will occur.

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

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