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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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The probability of a successful optical alignment in the

Chapter 3, Problem 123E

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QUESTION:

Problem 123E

The probability of a successful optical alignment in the assembly of an optical data storage product is 0.8. Assume that the trials are independent.

(a) What is the probability that the first successful alignment requires exactly four trials?

(b) What is the probability that the first successful alignment requires at most four trials?

(c) What is the probability that the first successful alignment requires at least four trials?

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QUESTION:

Problem 123E

The probability of a successful optical alignment in the assembly of an optical data storage product is 0.8. Assume that the trials are independent.

(a) What is the probability that the first successful alignment requires exactly four trials?

(b) What is the probability that the first successful alignment requires at most four trials?

(c) What is the probability that the first successful alignment requires at least four trials?

ANSWER:

Solution:

Step 1 of 4:

It is given that 0.8 is the probability of a successful optical alignment in an optical data storage product.

Also, it is given that all the trials are independent.

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