6.The company has two machines that produce certain items. Machine 1 produces 30% of thethe 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 andthoroughly mixed.a. The probability that an item randomly selected from the box is defective isb. If an item randomly selected from the box is defective, probability that it is produced onMachine 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.

P(M1) = 0.3P(D| M1) = 0.02P(M2) = 0.7P(D| M2) = 0.04

Answered: a. The probability that an item…

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. 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