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1. A school of driving has a scheduled test for the students. The number of students...

1.

A school of driving has a scheduled test for the students. The number of students who know this is limited and about 59% of students know this sort of information.

The instructor asks the class when the scheduled driving test will be


(a) What is the probability that the 56?ℎ student selected will be the 30?ℎth student to respond positive in the sense that they know when the test is?

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Answer #1

a)

here this is negative binomial distribution with parameter r=30 and p=0.59

P( 56?ℎ student selected will be the 30?ℎth student to respond positive )

=P(in first 55 student exactly 29 responded positive and on 56th student 30th responded positive)

=(55C29)*(0.59)30(0.41)26 =0.0407

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