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- Suppose that X and Y are unknowns with E(X) = 10, Var (X) = 4, E(Y)=12 and Var (Y) = 100. In addition, suppose that the correlation coefficient of X and Y is .6. Then what is the variance of X-Y?Where did we get the one over two-squared? I don't understand why it is one over 2^2 Variance (Px+Py).In order for a new drug to be sold on the market, the variance of the active ingredient in each dose should be 0.03mg0.03mg. A random sample of 1212 tablets with a dosage strength of 40.32mg40.32mg is taken. The variance of the active ingredient from this sample is found to be 0.0050.005. Does the data suggests at α=0.025α=0.025 that the variance of the drug in the tablets is less than the desired amount? Assume the population is normally distributed. Step 1 of 5 : State the null and alternative hypotheses. Round to four decimal places when necessary.
- Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In addition, suppose that the correlation coefficient of X with Y is .6. Then what is the variance of X + Y?If X has a mean μ and variance σ and Y = aX+b where a and b are constants: Find the mean, variance, and correlation coefficient between X and Y.Find the variance if X~N(0, 7) and 95% of the data are between -7 and 7.