GATE CE 2014 Set 1 — Question 39
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Engineering Mathematics → Probability → Poisson Distribution
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Question
A traffic office imposes on an average 5 number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than 4 penalties in a day is ___________
Correct answer
0.26 to 0.27
Solution
The number of penalties follows a Poisson distribution with mean .
The probability mass function is .
We need to find the probability of less than 4 penalties, i.e., :
Using :
.
The probability mass function is .
We need to find the probability of less than 4 penalties, i.e., :
Using :
.
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