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From a group of three data-processing managers, two senior system analysts, and two quality control engineers,...

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Basic Math

From a group of three data-processing managers, twosenior system analysts, and two quality control engineers, threepeople are to randomly selected to form a committee that will studythe feasibility of adding computer graphics at a consulting firm.Let y1 denote the number of data-processing managers and y2 thenumber of senior systems analysts selected for thecommittee.

a. Determine whether y1 and y2 are independent
b. Find E(y1-2y2)
c. Find the covariance of the random variable y1 and y2.
d. Find the varianve of y1 and also the variance of y2
e. Find the correlation of the random variable y1 and y2
f. Find the covariance matrix of the random variable y1 andy2
g. Find the correlation matrix of the random variable y1 andy2

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