Students, faculty, and staff line up for Tim Hortons. People are served at a rate of...
Students, faculty, and staff line up for Tim Hortons. People are served at a rate of 3 per minute, on average.
Question 1: What is the probability that no one is served in the next minute? Round your answer to 4 decimal places.
Question 2 : What is the probability that 5 people are served in the next minute? Round your answer to 4 decimal places.
Question 3: What is the probability that fewer than 3 people are served in the next minute?
Homework Answers
| this is Poisson distribution with parameter λ=3 |
1)
probability that no one is served in the next minute =P(X=0)=e-3*30/0! =0.0498
2)
| P(X=5)= | {e-λ*λx/x!}= | 0.1008 |
3)
| P(X<=2)= | ∑x=0x {e-λ*λx/x!}= | 0.4232 | |
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