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Question 4 Not yel Orswered Let Xbe a Gaussian random variable with mean 4.1 and standard deviation d = 25. A new random variable Y is defined as: Y = 2.6 X+3. Mand out of 5.00 Find the mean value of Y [The answer should be a number rounded to five decimal places, don't use Bag question symbols such as [The answer should be a numberrounded to five decimal places. Find the standard deviation of Y don't use symbols such as ] [The answer should be a number rounded to five Find the correlation coefficient between X and Y. decimal places don't use symbols such as ] un 5 Not yet ante The joint probability density function of two rondom variables X and Y is given by fxx(:,y) 2e (2011) 0 <3,0 < y; 10, otherwise. Note: et = 2.718281828 Motood out of 5.00 od The answer should be a numberrounded to five decimal places Find P(X < 0.1. Y <0.6) dont use symbols such as $) The answer should be a number rounded to five decimal Find the P(X < 0.9, Y <1/X 3.6) places, don't use symbols such as wa