QUESTION 6a) A box contains many pens that are of three colours; green, blue, and red. The probabilitythat a pen is faulty depends on its colour. The probability of a faulty green pen is 0.1, whilethe probability of faulty blue and red pen is 0.15 and 0.08, respectively. In the box, 35%of the pens are green colour, 40% is blue colour and the rest is red colour.i) Draw a probability tree diagram to represent the above situation.ii) Calculate the probability of obtaining a non-faulty pen.iii) If a pen was found to be faulty, what is the probability that it is a green pen?

Here define events Faulty pen = F Green pen = G Blue pen = B Red pen = R Here use Bayes rule and…

Answered: i) Draw a probability tree diagram to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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i) Draw a probability tree diagram to represent the above situation. ii) Calculate the probability of obtaining a non-faulty pen. iii) If a pen was found to be faulty, what is the probability that it is a green pen?