kindly, answer each step for each question. Thanks 9. Step 1: Many random number

Question

kindly, answer each step for each question. Thanks

9. Step 1: Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the range is to be all numbers between 0 and 2. Call the random number generated Y Then the density curve of the random variable Y has constant height between 0 and 2, and height elsewhere. What is the height of the density curve between 0 and 2? Give your answer to 2 decimal places. Fill in the blank: The height of the density curve between 0 and 2 is: eBook Step 2: Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the range is to be all numbers between 0 and 2. Call the random number generated Y Then the density curve of the random variable Y has constant height between 0 and 2, and height elsewhere. Use your graph from (a) and the fact that probability is area under the curve to find P (Y 1.60. Give your answer to 2 decimal places. Fill in the blank: POY 1.6)

Explanation / Answer

12.

We know that E(aX) = aE(x)
Also E(a) = a, where X is R.V and a is some contant

Herefore. if Y=12+7X
E(Y) = E(12+7X)
E(Y) is MeanY = E(12)+E(7X) = 12+7E(X) = 12+7*8 = 68
MuY = 68

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