In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The total number of assemblies that fail to meet specifications is X+ Y. The joint probability mass function of X and Y is given in the table below: y x 0 1 2 3 0 0.15 0.12 0.11 0.10 1 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 3 0.04 0.03 0.02 0.01

The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also how many children they had (Y). We show results for those who had no more than 4 children and no more than 4 siblings. Assume that the joint probability mass function is given in the following contingency table:   y x 0 1 2 3 4 0 0.03 0.01 0.02 0.01 0.01 1 0.09 0.05 0.08 0.03 0.01 2 0.09 0.05 0.07 0.03 0.02 3 0.06 0.04 0.07 0.04 0.02 4 0.04 0.04 0.04 0.03 0.02     Find the conditional expectation E(Y|X = 4). (Round the final answer to four decimal places.)

Two samples are taken with the following numbers of successes and sample sizesr1r1 = 40 r2r2 = 25n1n1 = 55 n2n2 = 82Find a 89% confidence interval, round answers to the nearest thousandth.< p1−p2p1-p2 <

The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also how many children they had (Y). We show results for those who had no more than 4 children and no more than 4 siblings. Assume that the joint probability mass function is given in the following contingency table:   y x 0 1 2 3 4 0 0.03 0.01 0.02 0.01 0.01 1 0.09 0.05 0.08 0.03 0.01 2 0.09 0.05 0.07 0.04 0.02 3 0.06 0.04 0.07 0.04 0.02 4 0.04 0.03 0.04 0.03 0.02       Find ρ(X, Y). (Round the final answer to four decimal places.)   ρ(X, Y) =

Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: y 3 х 0.13 0.10 0.07 0.03 0.04 1 0.12 0.16 0.08 2 0.02 0.06 0.08 0.04 0.02 0.01 3 0.02 0.02 Find the marginal probability mass function px(x). a. b. Find the marginal probability mass function pyy). Find Hx. C. Find µy. d. Find Ox. e. Find Oy. f. Find Cov(X, Y). Find px,Y- g. h.

In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below:   y x 0 1 2 3 0 0.15 0.12 0.11 0.10 1 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 3 0.04 0.03 0.02 0.01 Find the conditional probability mass function pY|X(y|1). (Round the final answer to two decimal places.) The value of pY|X(0|1) is  . The value of pY|X(1|1) is  . The value of pY|X(2|1) is  . The value of pY|X(3|1) is   Find the conditional probability mass function  pX|Y(x∣2). pX|Y(0∣2) =  (Round the final answer to one decimal place.) pX|Y(1|2) =  (Round the final answer to four decimal places.) pX|Y(2|2) =  (Round the final answer to four decimal places.) pX|Y(3|2) =  (Round the final answer to four…

Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: a. What is the value of C? b. Find the marginal probability mass function . c. Find the marginal probability mass function . d. Find u_x . e. Find  u_y. f. Find sigma_x. g. Find  sigma_y. h. Find  cov(x,y). i.  Find rho_xy. j.  E[X+Y] k.  VAR[X+Y] l.  Are X and Y independent? Explain. m.  What is the CDF Fx(x)? n.  What is the CDF Fy(y)?

Please do not give solution in image formate thanku.

Please answer everything asap. I really need help.

Please see picture