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Question: yes mean is 1 and variance is 2...

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03) Assume that we have a-N (al 1,.2) b-N(b11.4) and that a and b are independent. a)What is the pdf0f :-3a+5b ? b) Now suppose that a and b are correlated such that the jointly normal pof is given as Recalculate the pdf of z with the added correlation. c) yse the mvnmdü routine in the Matlab statistical toolbox to generate a m the correlated components of a and b. Verify that for large number of random samples that the mean and variance converges to the theoretical values given in part bQ3) Assume that we have a N(a|1,2) b N(bl11,4) and that a and b are independent. a) What is the pdf of z 3a+5b? b) Now suppose that a and b are correlated such that the jointly normal pdf is given as Recalculate the pdf of z with the added correlation. c) Use the mvnrnd() routine in the Matlab statistical toolbox to generate a monte-carlo simulation of z from the correlated components of a and b. Verify that for large number of random samples that the mean and variance converges to the theoretical values given in part b.

yes mean is 1 and variance is 2.

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