Compute the following Poisson probabilities (to 4 decimal places)using the Poisson formula:
a.P(X = 3),if μ = 2.5
b.P(X ≤ 1),if μ = 2.0
c.P(X ≥ 2),if μ = 3.0

Poisson Probabilities

Probabilities that describe the likelihood of a given number of events happening in a fixed interval of time or space, assuming the events occur with a known constant rate and independently of the time since the last event.

Poisson Formula

A mathematical formula used to calculate the probability of a given number of events happening in a fixed interval of time or space, assuming events occur with a known constant mean rate and independently of the time since the last event.

Compute

To perform mathematical calculations or process data using a computer or computational algorithm.