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Refer to Exercise 15. Let E1 be the event that the wafer

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 16E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 16E

Refer to Exercise 15. Let E1 be the event that the wafer comes from Lot A, and let E2 be the event that the wafer is conforming. Are E1 and E2 independent? Explain.

Step-by-Step Solution:
Step 2 of 3

Step1 of 3:

A population of 600 semiconductor wafers contains wafers from three lots. Wafers are categorized by lot or they conform to a thickness specification. The number of wafers from each category is given in the table.

Lot

Conforming

Non- conforming

Total

A

88

12

100

B

165

65

200

C

260

40

300

Total

513

87

600

It E1 be the event that wafer comes from lot A, and E2 be the event that wafer is conforming.

We have to check whether the events E1 and E2 are independent.

Step 2 of 2 :

Here the events are defined as

E1 ={ wafer comes from lot A}

E2 = { wafer is conforming}

From the table

The total number of wafers that comes from lot A = 100

The total number of wafers that comes  from all lots = 600

The total number of wafers that are conformed         =  513

So

                                        P(E1) = P(that wafers comes from lot A)

                                                 = 

 

                                                    =    

                                                    =     

   

                             P(E1)            =      0.1666

So the probability that wafers comes from lot A = 0.1666.

Similarly

   

                                         P(E2)    = P(that wafers are confirmed)

                                                      = 

                                                   =   513/600

 

                                                     =    0.855

So the probability that wafers are conform to thickness specification = 0.855.

Step 3 of 3

Chapter 2.3, Problem 16E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: wafer, let, Event, independent, explain. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “Refer to Exercise 15. Let E1 be the event that the wafer comes from Lot A, and let E2 be the event that the wafer is conforming. Are E1 and E2 independent? Explain.” is broken down into a number of easy to follow steps, and 33 words. Since the solution to 16E from 2.3 chapter was answered, more than 1075 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 16E from chapter: 2.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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Refer to Exercise 15. Let E1 be the event that the wafer