Answered: Write down the sample space for this…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

) A factory manufactures light bulbs. The total manufacturing process includes four steps, and products are monitored in each step whether they are defective or not.

If a product is found to be defective in any step, the product is excluded from the production process and discarded. Assume that any defect is detected right after the malfunction occurs. The malfunction occurs with a probability of 0.1.

Let N denote non-defective, and D denote defective in each step. For example, an item that is not defective during the whole process can be written as NNNN, while an item whose flaw is detected in the second step can be written as ND.

One light bulb is chosen at random and monitored throughout its production process.

(a) Write down the sample space for this statistical experiment of monitoring the light bulb.

(b) Calculate the probability of the event that the light bulb is discarded in the third step of the manufacturing process.

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