Relationship between Poisson and Exponential distribution - mathXplain
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Relationship between Poisson and Exponential distribution - mathXplain
Poisson distribution, Exponential distribution, Average, Density function, Distribution function, Expected value, Standard deviation, Discrete random variable, Continuous random variable.
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SOLVED: Relationship between exponential distribution and Poisson distribution If arrivals (per unit time) occur according to a Poisson process with parameter a then time elapsed between two successive arrivals has exponential distribution with parameter . Example: Stress hotline Calls are received according to a Poisson process with rate .5 call per day: (a) What is the probability that more than two days elapse between calls? (b) What is the expected time between two calls?
SOLVED: Relationship between exponential distribution and Poisson distribution If arrivals (per unit time) occur according to a Poisson process with parameter a then time elapsed between two successive arrivals has exponential distribution with parameter . Example: Stress hotline Calls are received according to a Poisson process with rate .5 call per day: (a) What is the probability that more than two days elapse between calls? (b) What is the expected time between two calls?
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SOLVED: Relationship between exponential distribution and Poisson distribution If arrivals (per unit time) occur according to a Poisson process with parameter a then time elapsed between two successive arrivals has exponential distribution with parameter . Example: Stress hotline Calls are received according to a Poisson process with rate .5 call per day: (a) What is the probability that more than two days elapse between calls? (b) What is the expected time between two calls?
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