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Let X have beta distribution with a =2 and B=3. Then the mean and the variance of X, respectively, are Select one: O a. 0.04 and 0.4 O b. 0.02 and 0.04 O c. 0.4 and 0.04 O d. 0.4 and 0.20

Let X have beta distribution with a =2 and B=3. Then the mean and the variance of X, respectively, are Select one: O a. 0.04 and 0.4 O b. 0.02 and 0.04 O c. 0.4 and 0.04 O d. 0.4 and 0.20

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Let X have beta distribution with a =2 and B = 3. Then the mean and the variance of X, respectively, are Select one: O a. 0.04 and 04 O b. 0.02 and 0.04 O c. 0.4 and 0.04 O d. 0.4 and 0.20 The weekly downtime Y (in hours) for a certain industrial machine has approximately gamma distribution a =3 and B =2. The loss, in dollars, to the industrial operation as a result of this downtime is given by L = 30Y+2Y?. Find the expected value of L. Select one: O a. 180 O b. 98 Oc. 36 O d. 276 The length X to complete a certain key task in house construction is exponentially distributed with mean of 5 hours. The cost of completing this task is C = 10+20x2, Find the expected cost. Select one: O a. 1000 O b. 1010 O c. 510 O d. 500 sum of the dead load plus the The total sustained load on the concrete footing of a planned building is occupancy load. Suppose that the dead load X, has a gamma distribution with a = 10 and B= 30, whereas the occupancy load, X2 also has exponential distribution with e = 30. (Units are in thousands of pounds.) Then the standard deviation of the total sustained load on the footing is Select one: O a. 99.499 O b. 94.868 O c. 198.997 O d. 9900 Let X have the pdf f(x)= ce-2(x-1)*. -*<x<x, What is the value of c?. Select one: O a. 0.4358 O b. 0.7979 O c0.2021 O d. 0.5642
Transcribed Image Text:Let X have beta distribution with a =2 and B = 3. Then the mean and the variance of X, respectively, are Select one: O a. 0.04 and 04 O b. 0.02 and 0.04 O c. 0.4 and 0.04 O d. 0.4 and 0.20 The weekly downtime Y (in hours) for a certain industrial machine has approximately gamma distribution a =3 and B =2. The loss, in dollars, to the industrial operation as a result of this downtime is given by L = 30Y+2Y?. Find the expected value of L. Select one: O a. 180 O b. 98 Oc. 36 O d. 276 The length X to complete a certain key task in house construction is exponentially distributed with mean of 5 hours. The cost of completing this task is C = 10+20x2, Find the expected cost. Select one: O a. 1000 O b. 1010 O c. 510 O d. 500 sum of the dead load plus the The total sustained load on the concrete footing of a planned building is occupancy load. Suppose that the dead load X, has a gamma distribution with a = 10 and B= 30, whereas the occupancy load, X2 also has exponential distribution with e = 30. (Units are in thousands of pounds.) Then the standard deviation of the total sustained load on the footing is Select one: O a. 99.499 O b. 94.868 O c. 198.997 O d. 9900 Let X have the pdf f(x)= ce-2(x-1)*. -*<x<x, What is the value of c?. Select one: O a. 0.4358 O b. 0.7979 O c0.2021 O d. 0.5642
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