Three biscuits making machines A, B and C are installed in a factory. Machine A makes 35% of the biscuits. Machine B makes 27% of the biscuits and the rest of the biscuits are made by machine C. It is found that 4 % of the biscuits made by machine A are broken, 1 % of the biscuits made by machine B are broken and 9 % of the biscuits made by machine C are broken. Draw a tree diagram to categorize all the possible outcomes and associated probabilities. If a biscuit is selected at random: 1. Calculate the probability that the biscuit is made by machine B is not broken. 2. Calculate the probability that the biscuit is broken 3. Given that the biscuit is broken, find the probability that it is not made by machine A.

Three biscuits making machines A, B and C are installed in a factory. Machine A makes 35% of the biscuits. Machine B makes 27% of the biscuits and the rest of the biscuits are made by machine C. It is found that 4 % of the biscuits made by machine A are broken, 1 % of the biscuits made by machine B are broken and 9 % of the biscuits made by machine C are broken. Draw a tree diagram to categorize all the possible outcomes and associated probabilities. If a biscuit is selected at random: 1. Calculate the probability that the biscuit is made by machine B is not broken. 2. Calculate the probability that the biscuit is broken 3. Given that the biscuit is broken, find the probability that it is not made by machine A.

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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