Let X have beta distribution with a =2 and B = 3. Then the mean and the variance of X, respectively, areSelect one:O a. 0.04 and 04O b. 0.02 and 0.04O c. 0.4 and 0.04O d. 0.4 and 0.20The weekly downtime Y (in hours) for a certain industrial machine has approximatelygamma distribution a =3 and B =2. The loss, in dollars, to the industrial operation as a result of this downtimeis given by L = 30Y+2Y?. Find the expected value of L.Select one:O a. 180O b. 98Oc. 36O d. 276The length X to complete a certain key task in house construction is exponentially distributed with mean of 5hours. The cost of completing this task is C = 10+20x2, Find the expected cost.Select one:O a. 1000O b. 1010O c. 510O d. 500sum of the dead load plus theThe total sustained load on the concrete footing of a planned building isoccupancy load. Suppose that the dead load X, has a gamma distribution with a = 10 and B= 30, whereas theoccupancy load, X2 also has exponential distribution with e = 30. (Units are in thousands of pounds.) Then thestandard deviation of the total sustained load on the footing isSelect one:O a. 99.499O b. 94.868O c. 198.997O d. 9900Let X have the pdf f(x)= ce-2(x-1)*. -*

We know that,α β The pdf of Beta distribution is, f(x) = 1/B(α, β)*xα-1(1-x)β-1 Mean(X) = α/(α+β)…

Answered: Let X have beta distribution with a =2…

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

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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