SOLUTION: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he makes a tape lasting five minutes. What are the probabilities that he gets: a. no

Question 1132891: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he makes a tape lasting five minutes. What are the probabilities that he gets:
a. no calls in the five minutes
b. less than three calls; and
c. exactly 10 calls?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Poisson with parameter 10
p(0)=e^(-10)*10^0/0!=e^(-10) or 0.00005
p(1)=e^(-10)*10^1/1!=0.0005
p(2)=e^(-10)*10^2/2!=0.0023
probability of fewer than 3 calls is 0.0029
p(10)=e^(-10)*10^10/10!=0.1251
RELATED QUESTIONS
Zeb makes about $120 a week working in his mom’s restaurant. He also gets a $30... (answered by ikleyn)

Brandon leaves his house and walks at a rate of 300 feet per minute until he gets to the... (answered by Fombitz)

Jonathan's parents told him that for every five hours of homework or reading he... (answered by ikleyn)

Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8... (answered by Theo)

Gilbert makes frequent calls from country A to country B. His calling plan costs... (answered by ikleyn)

Dan paid a total of $41.55 last month for his international calls. He makes international (answered by elima)

Can someone explain how to correctly solve the following: Ramon runs the marketing... (answered by ikleyn)

a 10 question multiple choice exam is given, and each questions has 5 possible answers.... (answered by stanbon)

an office worker claims that at most 30% of his phone calls make sale. If he makes 190... (answered by stanbon)