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...

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. LetXrepresent the number of engines, andYthe number of transmissions that require repairs in a one-hour time interval. The joint probability mass function ofXandYis as follows:

Find the marginal probability mass function ofX. Round the answers to two decimal places.

Find the marginal probability mass function ofY. Round the answers to two decimal places.

Findµ_X.

Find µ_Y.

Find σ_X.

Find σ_Y.

Find Cov(X, Y).

Find ρ_X,Y .

Extracted text: Find HX- Find HY- Find ox. Find oy. Find Cov(X, Y). Find PX,Y -


Extracted text: 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: 2 0.07 0.08 0.08 0.02 3 0.10 0.13 0.12 0.02 0.01 0.03 0.04 0.04 0.02 1 0.16 0.06 0.02 2 3 Find the marginal probability mass function of X. Round the answers to two decimal places. px0) pX2) PX{3) Find the marginal probability mass function of Y. Round the answers to two decimal places. p1) PX2) p{3)