Exam 5: Probability and Probability Distributions

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A continuous probability distribution is characterized by

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The law of large numbers is relevant to the estimation of _____ probabilities.

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If A and B are any two events with P(A)= 0.8 and P(B|A)= 0.4,then the joint probability of A and B is:

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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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A discrete probability distribution

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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 binomial distribution is a continuous distribution.

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

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Probabilities that cannot be estimated from long-run relative frequencies of events are called

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Find the probability that the number of arrivals between 4:00 and 5:00 P.M.is exactly two.

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The law of large numbers states that subjective probabilities can be estimated based on the long run relative frequencies of events.

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Using the standard normal distribution,the Z- score representing the 99th percentile is 2.326.

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A binomial distribution with n number of trials,and probability of success p can be approximated well by a normal distribution with mean np and variance A binomial distribution with n number of trials,and probability of success p can be approximated well by a normal distribution with mean np and variance   if np > 5 and n(1-p)> 5. if np > 5 and n(1-p)> 5.

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A random variable X is standardized when each value of X has the mean of X subtracted from it,and the difference is divided by the standard deviation of X.

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If A and B are mutually exclusive events with P(A)= 0.30 and P(B)= 0.40,then the probability that either A or B occur is

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The binomial distribution deals with consecutive trials,each of which has two possible outcomes.

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Given that Z is a standard normal variable,the value z for which P(Z Given that Z is a standard normal variable,the value z for which P(Z   z)= 0.2580 is z)= 0.2580 is

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Using the standard normal curve,the Z- score representing the 75th percentile is 0.674.

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What is the probability density function for the time it takes a technician to fix a computer problem?

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

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