Exam 5: Probability and Probability Distributions

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Probabilities that can be estimated from long-run relative frequencies of events are called _____ probabilities.

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There are two types of random variables,they are

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The Poisson random variable is a

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

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Find the mean and standard deviation of X.

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Much of the study of probabilistic inventory models,queuing models,and reliability models relies heavily on the Poisson and exponential distributions.

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Describe the probability distribution of X.

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The relative frequency of an event is the number of times the event occurs out of the total number of times the random experiment is run.

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The probability of an event and the probability of its complement always sum to

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Using the standard normal distribution,the Z-score representing the 5th percentile is 1.645.

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If the mean of an exponential distribution is 2,then the value of the parameter If the mean of an exponential distribution is 2,then the value of the parameter   is is

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If we plot a continuous probability distribution f(x),the total probability under the curve is

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According to the empirical rule,how many observations lie within +/- 3 standard deviation from the mean?

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

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A Poisson distribution is

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If A and B are two independent events with P(A)= 0.20 and P(B)= 0.60,then P(A and B)= 0.80.

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

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If the random variable X is exponentially distributed with parameter If the random variable X is exponentially distributed with parameter   = 3,then P(X   2),up to 4 decimal places,is = 3,then P(X If the random variable X is exponentially distributed with parameter   = 3,then P(X   2),up to 4 decimal places,is 2),up to 4 decimal places,is

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