QUESTION 3At a particular garage 20% of the cars that arrive for repair have engine trouble.Upon arrival at the garage an engine diagnostic test is carried out on the car, but thisengine diagnostic test is far from perfect. If the car has engine trouble the diagnostictest will turn out positive with a probability of 0.9. If the car does not have enginetrouble, the diagnostic test will turn out positive with a probability of 0.05.For each of the questions below explain your answer i.e. show your reasoning.Q 3(a)What is the probability of a positive engine diagnostic test?Q 3(b)Using Bayes Theorem, calculate the probability that the car has engine trouble, if theengine diagnostic test is positive.Q 3(c)Using Bayes Theorem, calculate the probability that the car does not have enginetrouble, if the engine diagnostic test is negative.

Given: Let E be engine trouble P be positive result N be negative result. P (E) = 0.20 P (E') = 1 -…

ESTION 3 particular garage 20% of the cars that arrive for repair have engine trouble. n arrival at the garage an engine diagnostic test is carried out on the car, but this ne diagnostic test is far from perfect. If the car has engine trouble the diagnostic will turn out positive with a probability of 0.9. If the car does not have engine ple, the diagnostic test will turn out positive with a probability of 0.05. each of the questions below explain your answer i.e. show your reasoning.

ESTION 3 particular garage 20% of the cars that arrive for repair have engine trouble. n arrival at the garage an engine diagnostic test is carried out on the car, but this ne diagnostic test is far from perfect. If the car has engine trouble the diagnostic will turn out positive with a probability of 0.9. If the car does not have engine ple, the diagnostic test will turn out positive with a probability of 0.05. each of the questions below explain your answer i.e. show your reasoning.

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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