The number of cars being repaired at a small repair shop has the following PMF: Each car
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The number of cars being repaired at a small repair shop has the following PMF:
Each car that is being repaired is a four-door car with probability 3/4 and a two door car with probability 1/4, independently from other cars and independently from the number of cars being repaired. Let X be the number of four-door cars and Y be the number of two-door cars currently being repaired.
a. Find the marginal PMFs of X and Y.
b. Find the joint PMF of X and Y.
c. Are X and Y independent?
Transcribed Image Text:
PN(n)= 000 2 0 for n = 0 for n = 1 for n = 2 for n = 3 otherwise
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Solutions to Parts a b and c Part a Finding the marginal PMFs of X and Y The marginal PMF of X is the probability that there are x fourdoor cars being ...View the full answer
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Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
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