The profit for a new product is given by Z= 3X- Y- 5. If X and Y are independent random variables with Ox=1 and Oy=/2.What is the variance of Z ?

Q: Find P(X = 3), P(X = 6), P(X less than or equal to 3),

A: According to our guidelines we are solving only first three sub-parts of given question and rest…

Q: There is a p(x1) = 0.4 probability to observe x1 = 10 and p(x2) = 0.6 probability to observe  x2 =…

A: We have given that  X 10 5 P(X) 0.4 0.6

Q: Company A claims that the variance of the life of its appliances is less than the variance of the…

A: Company A claims that the variance of the life of its appliances is less than the variance of the…

Q: Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In…

A: Solution: From the given information,

Q: Suppose the variance of the difference of two random variables X and Y is zero. Then, show that X =…

A: A random variable is a function that associates a real number with each element in the sample space.…

Q: Calculate L = E(Ä|X1) and find its variance. Is the variance of L smaller than the variance of Ä? Is…

A:

Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…

A: CorX,Y=0.75VX=VY=36W=2X+3Y

Q: Now look at the variable DIFFERENCE in the data file “Fuel Efficiency.” If there is no difference…

A: Fill-Up No. Computer Driver Difference   1 41.5 36.5 5   2 50.7 44.2 6.5   3 36.6 37.2 -0.6…

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

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Q: Let X-G(6,0.3) Find the variance of the gamma distribution.

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Q: Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and…

A: Let the new variable be Z  = 3X  - 4Y   The mean is given by E(Z) =3E(X) - 4E(Y) E(Z) = 3(17) -…