Of all the registered automobiles in a city, 10% fail the emissions test. Fifteen automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. It would not be unusual for fewer than three of them to fail the test since the probabilty is what?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
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Of all the registered automobiles in a city, 10% fail the emissions test. Fifteen automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. It would not be unusual for fewer than three of them to fail the test since the probabilty is what?

Expert Solution
Step 1

Probability that an automobile will fail the emission test (p)= 0.1

Probability that an automobile will not fail the emission test (q)= 0.9

Number of automobiles selected (n) = 15

The formula for Binomial distribution that could be used to find the probability is:

P=Cxnpxqn-x

 

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