The Student Room Group

S1 - Poisson distribution

How would one calculate the expected income of something from a Poisson distribution?

I've come across a question where the mean daily demand is 2.4 and it costs £12 for 1. How would I calculate the expected daily income from this?
Reply 1
Original post by crozibear96
How would one calculate the expected income of something from a Poisson distribution?

I've come across a question where the mean daily demand is 2.4 and it costs £12 for 1. How would I calculate the expected daily income from this?


The expectation of a Poisson r.v. is the mean, which for the Poisson is also the parameter λ\lambda.
You have the mean, and the cost per unit. :smile:
Original post by joostan
The expectation of a Poisson r.v. is the mean, which for the Poisson is also the parameter λ\lambda.
You have the mean, and the cost per unit. :smile:


Sooo.. Just 2.4 multiplied by 12?
Reply 3
Original post by crozibear96
Sooo.. Just 2.4 multiplied by 12?


Yup :smile:

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