Let A and B have the joint probability density function f(a,b) = 6(1-a - b) for a+b < 1, a>0, b>0 and it is zero elsewhere Calculate for expected value of (AB + 2A^2)
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- For the continuous probability function f (x) = Kx² e* when x20 fint i) k i) mean iii) varianceThe life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by ´2e-(x+2) x 2 0, y 20 fx,y(x,y)=| else Then the probability that the first transistor burned during half hour given that the second one lasts at least half hour equals Select one: a. 0.3935 b. 0.606 c. 0.7772 d. 0.3669 e. 0.6318Suppose that two continuous random variables X and Y have joint probability density function fxy = 1sxs2,0sy<3 elsewhere Find the strength of the relationship and interpret the findings.
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