Hummingbirds visit a feeder at a rate of 0.75 visits per hour.  Let X be the number of hummingbird visits on a particular day.  Then X has a Poisson distribution with parameter λ = ?

Let X denote the number of paint defects found in a square yard section of a car body painted by a robot. These data are obtained: 8. 5 10 3 1 12 2 7 9 Assume that X has a Poisson distribution with parameter As. а. Find an unbiased estimate for As. b. Find an unbiased estimate for the average number of flaws per square yard. C. Find an unbiased estimate for the average number of flaws per square foot.

Determine if the following scenarios follow a Poisson distribution or do not follow a Poisson Distribution. • You work in a shoe shop and you want to find the distribution of the total number of people who come into the store in a day. You also observe that there are usually more people who come into the shop over lunchtime (10-2 pm) and more people who come into the store after they finish work (5 pm-6 pm). Let X be the number of people who come into the shoe shop on a given day. No - not Poisson • You love peanut butter and want to know how many people buy peanut butter from Trader Joe's. One summer you have nothing to do so you go and stand in Trader Joe's every day and count how many people buy peanut butter in a given week. You assume that consumers do not impact each other's decisions. Let Y be the number of people who buy peanut butter in a given week. Yes - Poisson You want to know how many people in a group of 100 take painkillers if they have a headache. You think that the…

Suppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?