finds the glass is cracked. What is the probability it was made by Mirrorglass?

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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A lens outlet owner buys his glass from four different manufacturers - Clearglass (10%), Strongpane (25%), Mirrorglass (30%) and Reflection (35%).

In the past, the outlet owner has found that 1% of Clearglass' product is cracked, 1.5% of Strongpane's product is cracked, and 2% of Mirrorglass' and Reflection's products are cracked.

He removes the protective covering from a sheet of glass without looking at the manufacturer's name - in other words, it's a random

choice. He finds the glass is cracked. What is the probability it was made by Mirrorglass?

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