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Statistics / Statistics for Engineers and Scientists 4 / Chapter 4.4 / Problem 6E

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

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Refer to Exercise 4. What is the probability that in a

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QUESTION:

Refer to Exercise 4. What is the probability that in a sequence of 10 days, four green lights, one yellow light, and five red lights are encountered?

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QUESTION:

Refer to Exercise 4. What is the probability that in a sequence of 10 days, four green lights, one yellow light, and five red lights are encountered?

ANSWER:

Step 1 of 2:

Given, at a certain intersection of a traffic light, green is 50% of the time, yellow is 10% of the time and red is 40% of the time.

Let X = number of days that pass up to and including the first time the car encounters a red light.

The claim is to find the probability that in a sequence of 10 days, four green lights, one yellow light and five red lights are encountered.

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