Exam 7: Continuous Probability Distributions

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A(n) ____________________ random variable has a density function that looks like a rectangle and you can use areas of a rectangle to find probabilities for it.

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Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the probability that the subway arrives in the first minute and a half?

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The shape of an F distribution is ____________________.

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Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the probability density function for this uniform distribution?

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The number of parameters for an F distribution is:

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Suppose f(x) = 1/4 over the range a \le x \le b, and suppose P(X > 4) = 1/2. What are the values for a and b?

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To find the probability for a uniform random variable you take the ____________________ times the ____________________ of its corresponding rectangle.

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As the ____________________ degrees of freedom increase, the mean of the F distribution approaches 1.

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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. -If a dieter is selected at random, what is the probability that the dieter lost more than 7.5 pounds?

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