PREVIOUS ANSWERS 10. [0/19 Points] DETAILS MY NOTES ASK YOUR TEACHER DEVORESTAT9 5.SE.501.XP. PRACTICE ANOTHER When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and each headlight is checked to see whether it is properly aimed. Let X denote the number of headlights that need adjustment, and let Y denote the number of defective tires. (a) If X and Y are independent with px (0) = 0.5, px(1) = 0.3, px(2) = 0.2, and p(0) = 0.6, p(1) = 0.2, p(2) = p(3) = 0.05, Py(4) = 0.1, display the joint pmf of (X, Y) in a joint probability table. p(x, y) 0 x 1 2 2 4 (b) Compute P(X 1 and Y 1) from the joint probability table. P(X 1 and Y 1) = | Does P(X 1 and Y 1) equal the product P(X 1) P(Y 1)? Yes No (c) What is P(X + Y = 0) (the probability of no violations)? P(X + Y = 0) = (d) Compute P(X + Y 1). P(X + Y 1) =