Telus promises that it will give it\'s cell phonecustomers $1.25 if they have to

Question

Telus promises that it will give it's cell phonecustomers $1.25 if they have to wait more than 5 minutes when theycall customer service. Let's assume that this happens whenever theyreceive more than 10 calls in a 30 minute period. On average Telusreceives 12 calls per hour, what is the probability that they willhave to pay to keep it's promise in a half hour period? use poisson probability Telus promises that it will give it's cell phonecustomers $1.25 if they have to wait more than 5 minutes when theycall customer service. Let's assume that this happens whenever theyreceive more than 10 calls in a 30 minute period. On average Telusreceives 12 calls per hour, what is the probability that they willhave to pay to keep it's promise in a half hour period? use poisson probability use poisson probability

Explanation / Answer

Given that average # of calls per hour = 12 = for thepoisson distribution

P(x=k ,t ) = (t)k e(-t) /k!

We want to know the probability of getting more than 10 calls inhalf hour.

P(x > 10, 0.5) = ? (12*0.5)ke(-12*0.5) /k! where k = 0 to 10

= ? (6)k e(-6) /k! where k = 0 to10.

= 95.74%

Hope it helps . Feel free to ask for any clarifiations

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