fxy(x, y) = { [8ay for 0≤x≤ y ≤1 otherwise
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Calculate E{X}, E{Y }, Var{X}, Var{Y } and ρ XY for random variables X and Y with joint
density
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- A bag contains 3 red balls, 2 yellow balls, 2 green balls. Suppose that you pick three balls at random (without replacement). Let R denote the number of red balls and Y the number of yellow balls. Find E(R²Y³).11. Find X. (G.8A-S)if P(A) = 0.3, P(B) = 0.4, and P(A/B) + P(B|A) = 0.6. Find P(An B) = | (Provide 4 digits after the dot)
- CBS news reported that 4% of adult Americans have a food allergy consider selecting 10 adult Americans at random define the variable x as: x= number of people in the sample of 10 that have a food allergy a. p(x<3) b. p(x lesss than or equal to 3) c. p (x greater than or equal to 4) d. p (1 less than or equal to x less than or equal to 3)There is a chance that a bit transmitted through a digital transmission channel is received in error. Let X equal the number of bits in error in the next four bits transmitted. The possible values of X are {0,1,2,3}. Suppose that P(X=0)=0.6, P(X=1)= 0.3, P(X=2)= 0.05, P(X=3)= 0.05 What is the CDF of X at 3? i.e., what is F(3)? a). 0.6 b). 0.9 c). 0.95 d). 1 e). none of above For the random variable defined in question 12, if we know that Var(X)=0.6475, what is the standard deviation of X? a). 0.55 b). 0.6475 c). 0.419 d). 0.8 e). none of aboveY; = Bo + B1 X; + ɛ; (1.1)
