Exam 8: Continuous Probability Distributions

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Which of the following is not a characteristic for a normal distribution?

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Diet Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 10 pounds and a standard deviation of 5 pounds. -{Diet Narrative} What proportion of the dieters gained weight?

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We distinguish between discrete and continuous random variables by noting whether the number of possible values is countable or uncountable.

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The shape of the ____________________ distribution is similar to a normal distribution, except it has more area in the tails.

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Lamont took a psychology exam whose mean was 70 with standard deviation 5.He also took a calculus exam whose mean was 80 with standard deviation 10.He scored 85 on both exams.On which exam did he do better compared to the other students who took the exam?

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If the random variable X is exponentially distributed with parameter λ\lambda = 4, then the probability P(X \le 0.25), up to 4 decimal places, is

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Since there is an infinite number of values a continuous random variable can assume, the probability of each individual value is virtually 0.

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Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take no less than 55 minutes to finish the test.

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The shape of an F distribution is ____________________.

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What number corresponds to What number corresponds to   ? ?

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Like that of the Student t distribution, the shape of the chi-squared distribution depends on its number of degrees of freedom.

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The expected value of the Student t distribution is zero.

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Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -{Electronics Test Narrative} What is the probability density function for this uniform distribution?

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Suppose X has a normal distribution with mean 40 and standard deviation 2.Shifting all the X values to the right 10 units results in a normal distribution with mean ____________________ and standard deviation ____________________.

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Suppose X has a normal distribution with mean 70 and standard deviation 5.The 50th percentile of X is 70.

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If we standardize the normal curve, we express the original X values in terms of their number of standard deviations away from the mean.

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Continuous probability distributions describe probabilities associated with random variables that are able to assume any finite number of values along an interval.

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Stacy took a math test whose mean was 70 and standard deviation was 5.The total points possible was 100.Stacey's results were reported to be at the 95th percentile.What was Stacey's actual exam score, rounded to the nearest whole number?

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Phone Orders The L.L.Bean catalog department that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product.The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 3 minutes. -{Phone Orders Narrative} What is the value of λ\lambda , the parameter of the exponential distribution in this situation?

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The Student t distribution with parameter v = 2 has a mean E(t) equal to:

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