Question

The average number of field mice per acre in a 5-acre wheat field is estimated to be 12. Find the probability that fewer than 7 field mice are found (a) on a given acre; (b) on 2 of the next 3 acres inspected

Answer 1

Let be X: number of field mice per acre

λ = 12

P(X = 7) =

P(X = x) = (λ^x)*e^(-λ)/x!

P(X = 7) = (12^7)*2,718281828459^(-12)/7! = 0.0437