Complete GATE CE 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 25–27 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 9 of 22

Question 25

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CENAT1 markNeeds review
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds is ________.

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Question 26

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CEMCQ2 marksNeeds review
For the function

,

, to be a valid probability density function, which one of the following statements is correct?
Your answerChoose one option.

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Question 27

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CEMCQ2 marksNeeds review
The solution of the equation

with

at

is
Your answerChoose one option.

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