SOLUTION: Telephone calls arrive at a helpdesk at an average rate 2.5 per hour. (a)What is the probability that during a one hour period
(i)no calls arrive
(ii)one call arrives
(iii)at
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-> SOLUTION: Telephone calls arrive at a helpdesk at an average rate 2.5 per hour. (a)What is the probability that during a one hour period
(i)no calls arrive
(ii)one call arrives
(iii)at
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Question 1012442: Telephone calls arrive at a helpdesk at an average rate 2.5 per hour. (a)What is the probability that during a one hour period
(i)no calls arrive
(ii)one call arrives
(iii)at least one call arrives?
(b)What is the probability that two calls arrive in a half hour period? Express your answers to 3 decimal places. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Use Poisson distribution with lambda=2.5
exp(-2.5)*2.5^0/0!
That is exp(-2.5)=0.082 for 0 calls
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for 1 call
exp(-2.5)*2.5/1=0.205
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At least 1 call arrives is 1-P(0 call arrives)=0.918
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That is 2 calls in a Poisson distribution of lambda=1.25
exp(-1.25)*1.25^2/2
=0.224
