A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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A university purchases computer from three different companies A, B, and C. The university
purchases 37% of the total number of computers from company A, 55% from company B
and 8% from company C. The percentage of defective computers supplied by company A,
company B, and company C are 3%, 1%, and 6% respectively.
(i)
Draw a well-labelled probability tree diagram with the joint probabilities calculated
to illustrate this situation.
A computer is selected at random.
Calculate the probability that the computer is defective.
(ii)
(iii) Calculate the probability that the computer is supplied by Company A or B.
Given that a computer is defective, calculate the probability that the computer is
supplied by Company A.
(iv)
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Transcribed Image Text:A university purchases computer from three different companies A, B, and C. The university purchases 37% of the total number of computers from company A, 55% from company B and 8% from company C. The percentage of defective computers supplied by company A, company B, and company C are 3%, 1%, and 6% respectively. (i) Draw a well-labelled probability tree diagram with the joint probabilities calculated to illustrate this situation. A computer is selected at random. Calculate the probability that the computer is defective. (ii) (iii) Calculate the probability that the computer is supplied by Company A or B. Given that a computer is defective, calculate the probability that the computer is supplied by Company A. (iv)
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