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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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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