Let X and Y be independent random variables with joint probability density function fXY(x, y) =...

 

Transcribed Image Text:

Let X and Y be independent random variables with joint probability density function fXY(x, y) = 1/3 (x + y), 0 < x <= 2, and 0 < y <= 1, and 0 otherwise. The marginal pdf fX(x) is given by O a. (X+1/2)/3, 0 < X <= 1 O b. (2 + 2X)/3, 0 < X <= 1 O c. (X+1/2)/3, 0 < X <= 2 O d. (2 +2X)/3, 0 <X <= 2 Question 5 11. A fair die is rolled 10 times, the probability that a one dot comes up exactly 4 times is Not yet answered O a. 0.05 Marked out of O b. 0.03 O c. 0.01 1.00 P Flag question O d. 0.22 Let X and Y be independent random variables with joint probability density function fXY(x, y) = 1/3 (x + y), 0 < x <= 2, and 0 < y <= 1, and 0 otherwise. The marginal pdf fX(x) is given by O a. (X+1/2)/3, 0 < X <= 1 O b. (2 + 2X)/3, 0 < X <= 1 O c. (X+1/2)/3, 0 < X <= 2 O d. (2 +2X)/3, 0 <X <= 2 Question 5 11. A fair die is rolled 10 times, the probability that a one dot comes up exactly 4 times is Not yet answered O a. 0.05 Marked out of O b. 0.03 O c. 0.01 1.00 P Flag question O d. 0.22