Questions from Calculus


Q: Find (by inspection) the expected values and variances of the

Find (by inspection) the expected values and variances of the exponential random variables with the density function given. ¼ e-x/4

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Q: Find (by inspection) the expected values and variances of the

Find (by inspection) the expected values and variances of the exponential random variables with the density function given. .2e-0.2x

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Q: Find (by inspection) the expected values and variances of the

Find (by inspection) the expected values and variances of the exponential random variables with the density function given. 1.5e-1.5x

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Q: In a large factory there is an average of two accidents per

In a large factory there is an average of two accidents per day, and the time between accidents has an exponential density function with an expected value of ½ day. Find the probability that the time...

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Q: In a large factory there is an average of two accidents per

In a large factory there is an average of two accidents per day, and the time between accidents has an exponential density function with an expected value of ½ day. Find the probability that the time...

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Q: Repeat Exercise 2 with λ = 2.5 and make a

Repeat Exercise 2 with λ = 2.5 and make a histogram. Exercise 2: Let X be a Poisson random variable with parameter λ = 5. Compute the probabilities p0, … , p6 to four decimal places.

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Q: The monthly number of fire insurance claims filed with the Firebug Insurance

The monthly number of fire insurance claims filed with the Firebug Insurance Company is Poisson distributed with λ = 10. (a) What is the probability that in a given month no claims are filed? (b) Wh...

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Q: A piece of new equipment has a useful life of X thousand

A piece of new equipment has a useful life of X thousand hours, where X is a random variable with the density function f (x) = .01xe-x/10, x ≥ 0. A manufacturer expects the machine to generate $5000 o...

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Q: On a typical weekend evening at a local hospital, the number

On a typical weekend evening at a local hospital, the number of persons waiting for treatment in the emergency room is Poisson distributed with λ = 6.5. (a) What is the likelihood that either no one...

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Q: The number of typographical errors per page of a certain newspaper has

The number of typographical errors per page of a certain newspaper has a Poisson distribution, and there is an average of 1.5 errors per page. (a) What is the probability that a randomly selected pag...

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