2. 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 Ydenote the number of defective tires. a. If X and Y are independent with p(0) = .5, p(1) = .3, Pa(2) = 2, and py(0) = .6, p;(1) = .1. P,(2) = p;(3) = .05, and p,(4) = .2, display the joint pmf of (X, }) in a joint probability table. b. Compute P(X
2. 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 Ydenote the number of defective tires. a. If X and Y are independent with p(0) = .5, p(1) = .3, Pa(2) = 2, and py(0) = .6, p;(1) = .1. P,(2) = p;(3) = .05, and p,(4) = .2, display the joint pmf of (X, }) in a joint probability table. b. Compute P(X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can you answer A, b, c, d
Transcribed Image Text:2. 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 Ydenote
the number of defective tires.
a. If X and Y are independent with p(0) = .5, p(1) = .3,
Px{2) = .2, and p;(0) = .6. p(1) = .1. P;{2) = p;(3) = .05,
and p,(4) = .2, display the joint pmf of (X, Y) in a joint
probability table.
b. Compute P(Xsl and Y< 1) from the joint probability
table, and verify that it equals the product P(X<1)·
P(Y< 1).
c. What is P(X+ Y= 0) (the probability of no violations)?
d. Compute P(X+ Y< 1).
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