Exam 8: Continuous Probability Distributions

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What number corresponds to F0.95,4,8?

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We define We define   as the value of the F with v<sub>1</sub> and v<sub>2</sub> degrees of freedom such that the area to its right under the F curve is A, while   is defined as the value such that the area to its left is A. as the value of the F with v1 and v2 degrees of freedom such that the area to its right under the F curve is A, while We define   as the value of the F with v<sub>1</sub> and v<sub>2</sub> degrees of freedom such that the area to its right under the F curve is A, while   is defined as the value such that the area to its left is A. is defined as the value such that the area to its left is A.

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IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

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Checking Accounts A bank has determined that the monthly balances of the checking accounts of its customers are normally distributed with an average balance of $1,200 and a standard deviation of $250. -{Checking Accounts Narrative} What proportion of customers have monthly balances more than $1,125?

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Battery Life A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours. -{Battery Life Narrative} What proportion of these batteries will last between 3,800 and 4,100 hours?

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The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

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A national standardized testing company can tell you your relative standing on an exam without divulging the mean or the standard deviation of the exam scores.

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A random variable X has a normal distribution with mean 132 and variance 36.If x = 120, its corresponding value of Z is 2.0.

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A c2 distribution with 5 degrees of freedom has a mean of ____________________ and a variance of ____________________.

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Given that Z is a standard normal random variable, the area to the left of a value z is expressed as

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Suppose you have a c2 distribution with 20 degrees of freedom. a. Find the mean. b. Find the variance. c. Find the standard deviation.

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If If   , then the number of degrees of freedom v is: , then the number of degrees of freedom v is:

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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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If the random variable X is exponentially distributed, then the mean of X will be:

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The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

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