Exam 8: Continuous Probability Distributions

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In its standardized form,the normal distribution:

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If the random variable X is exponentially distributed with parameter λ\lambda = 0.05,then the variance of X, σ\sigma 2 = V(X)= 20.

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Given that Z is a standard normal random variable,a negative value of Z indicates that the standard deviation of Z is negative.

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The probability density function of a uniform random variable on the interval [0,5] must be ____________________ for 0 \le x \le 5.

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What number corresponds to F.025,3,5?

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The number of parameters for an F distribution is:

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Truck Salesman A used truck salesman in a small town states that,on the average,it takes him 5 days to sell a truck.Assume that the probability distribution of the length of time between sales is exponentially distributed. -{Truck Salesman Narrative} What is the probability that he will have to wait at least 8 days before making another sale?

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Which of the following does not represent a continuous uniform random variable?

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Given that Z is a standard normal random variable,a negative value (z)on its distribution would indicate:

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Which of the following is always true for all probability density functions of continuous random variables?

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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 probability that a randomly selected caller is placed on hold for 3 to 6 minutes?

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The Student t distribution looks similar in shape to a standard normal distribution,except it is not as widely spread.

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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 median amount of time it takes a student to finish the test?

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P(Z < 3.00)is approximately ____________________.

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The expected value of the Student t distribution is zero.

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The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

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If the random variable X is exponentially distributed with parameter λ\lambda = 5,then the variance of X, σ\sigma 2 = V(X)= 0.04.

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What proportion of the data from a normal distribution is within two standard deviations from the mean?

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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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A probability density function shows the probability for each value of X.

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