Two discrete random variables X and Y have the joint probabi…

Two discrete random variables X and Y have the joint probability function f(x,y): f(x,y) x=0 1 2 y=0 0.10 0.20 0.10 2 0 0.10 0.10 4 0.20 0 0.20               Which of the following is the conditional distribution of Y, given X=2? A.                        y=0                      2                            4 ———————————————————- f(y|2)          0.10                   0.10                      0.2 ——————————————————————————– B.                        y=0                      2                            4 ———————————————————- f(y|2)          0.40                   0.20                      0.40 ——————————————————————————– C.                        y=0                      2                            4 ———————————————————- f(y|2)          0.25                   0.25                      0.50 ——————————————————————————– D.    None of the above

Two independent samples of sizes 11 and 8 are randomly selec…

Two independent samples of sizes 11 and 8 are randomly selected from two normal populations with two equal but unknow variances.   Which of the following distributions should be used for developing confidence intervals and for testing hypotheses about the difference between the two population means