Unformatted text preview: 3110 a) Let X denote the number of calls in one hour. Then, X is a Poisson random variable with Î» = 10. P X e ( ) ! . = = =5 10 5 0 0378 10 5 . b) P X e e e e ( ) ! ! ! . â‰¤ = + + + =3 10 1 10 2 10 3 0 0103 10 10 10 2 10 3 c) Let Y denote the number of calls in two hours. Then, Y is a Poisson random variable with Î» = 20. P Y e ( ) ! . = = =15 20 15 0 0516 20 15 d) Let W denote the number of calls in 30 minutes. Then W is a Poisson random variable with Î» = 5. P W e ( ) ! . = = =5 5 5 01755 5 5 3118 a) Let X denote the failures in 8 hours. Then, X has a Poisson distribution with Î» = 0.16. 8521 . ) ( 16 . = = =e X P b) Let Y denote the number of failure in 24 hours. Then, Y has a Poisson distribution with Î» = 0.48. 3812 . 1 ) ( 1 ) 1 ( 48 == == â‰¥e Y P Y P...
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 Spring '08
 Chen
 Normal Distribution, Poisson Distribution, Mean, Probability theory, Discrete probability distribution, Poisson random variable

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