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1. Find the mean. and the varial)ce of Y = x, -2X2 + 3X3, where X., X 2 , X 3 are observations of a random sample from a chi-square distribution with 6 degrees of freedom.
2. Let X and Y be random variables such that var (X) = 4, var ( Y) = 2, and var (X + 2Y) = 15. Determine the correlation coefficient of X and Y.
3. Let X and Y be random variables with means µ1 ,µ2 ; variances of , ; and correlation coefficient p. Show that the correlation coefficient of W = ax + b, a > 0, and Z = c Y + d, c > 0, is p.
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1. a quiz has 5 multiple-choice questions where each question has 4 possible answers but only 1 is the correct
1. Researchers tested farm-raised salmon from two different farms for organic contaminants. One measure they collected was the concentration of the carcinogenic insecticide mirex (parts per million).
What conclusions can be drawn from the F-ration and the post hoc comparisons and what is the effect size, and what does this mean
The resistances of carbon resistors of 1500 ohm nominal value are normally distributed with µ = 1500 and standard deviation = 200. What proportion of resistors is expected to have resistance greater than 1150 ohm?
Discuss significance of activity coefficients at infinite dilutions and evaluate values of A12 and A21 in - algebraic sum of partial molar volumes.
the following regression model has been computed based on a sample of twenty observations 34.2 19.3x. the first
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the weights of ripe watermelons grown at mr. smiths farm are normally distributed with a standard deviation of 2.2 lb.
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