When an automobile is stopped by a roving safety patrol each

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 pY(0) = 0.6, pY(1) = 0.1, pY(2) = pY(3) = 0.05, pY(4) = 0.2, display the joint pmf of (X, Y) in a joint probability table. (b) Compute P(X

Solution

b)

d)

a)	Mean	69
	sigma	3
	65	<	x	<73
~	-1.3333	<	z	<	1.333333
	Prob	0.8164