Question

The average number of homes sold by a realty company is 2 homes per day. What is the probability that exactly 3 homes will be sold in the next Sunday.( Given that e=2718)

Answer 1

Let $X=$ the number of homes which will be sold: $X\sim Po(\lambda).$

Given $\lambda=2.$

$$P(X=3)=\dfrac{e^{-2}(2)^3}{3!}=0.180447$$