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a. The probability that an item randomly selected from the box is defective is b. If an item randomly selected from the box is defective, probability that it is produced on Machine 2 is

a. The probability that an item randomly selected from the box is defective is b. If an item randomly selected from the box is defective, probability that it is produced on Machine 2 is

A First Course in Probability (10th Edition)
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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6. The company has two machines that produce certain items. Machine 1 produces 30% of the the items, and Machine 2 produces 70% of the items. Machine 1 produces 2% of defective items and Machine 2 produces 4% of defective items. All items produced by both machines during long period of time are placed into the box and thoroughly mixed. a. The probability that an item randomly selected from the box is defective is b. If an item randomly selected from the box is defective, probability that it is produced on Machine 2 is_ Assuming that the event "an item randomly selected from the box is defective "is denoted by D, the event "An item randomly selected from the box is produced by Machine 1 "is denoted by M1, the event "An item randomly selected from the box is produced by Machine 2 " is denoted by M2, show your work in answering the questions a. and b.
Transcribed Image Text:6. The company has two machines that produce certain items. Machine 1 produces 30% of the the items, and Machine 2 produces 70% of the items. Machine 1 produces 2% of defective items and Machine 2 produces 4% of defective items. All items produced by both machines during long period of time are placed into the box and thoroughly mixed. a. The probability that an item randomly selected from the box is defective is b. If an item randomly selected from the box is defective, probability that it is produced on Machine 2 is_ Assuming that the event "an item randomly selected from the box is defective "is denoted by D, the event "An item randomly selected from the box is produced by Machine 1 "is denoted by M1, the event "An item randomly selected from the box is produced by Machine 2 " is denoted by M2, show your work in answering the questions a. and b.
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