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Suppose p is the number of cars per minute passing through a certain road junction between 5 PM and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
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Suppose p is the number of cars per minute passing through a certain r...
Poisson Probability Density Function (with mean 
We have to sum the probability density function for  (thus finding the cumulative mass function) 
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Suppose p is the number of cars per minute passing through a certain r...
Poisson Probability Density Function (with mean 
We have to sum the probability density function for  (thus finding the cumulative mass function) 
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Suppose p is the number of cars per minute passing through a certain r...
Formula for Poisson distribution P(p = n) = (e^-u)(u^n)/n!

Here, Mean is 3. i.e., u = 3

Probability of observing fewer than 3 cars is = P(p < />
P(p < 3)=" " p(p="0) + P(p" =="" 1) + p(p="" />
           
  = (e^-3) (3^0)/0! + (e^-3) (3^1)/1! + (e^-3) (3^2)/2!
           
  = (e^-3) + (e^-3)(3)/(1) + (e^-3) (9)/(2)
             
= (1+3+(9/2)) (e^-3)
             
= 17/2e^3 

Hence the answer is C.
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Suppose p is the number of cars per minute passing through a certain road junction between 5 PM and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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Suppose p is the number of cars per minute passing through a certain road junction between 5 PM and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Suppose p is the number of cars per minute passing through a certain road junction between 5 PM and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose p is the number of cars per minute passing through a certain road junction between 5 PM and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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