Question

On average, five customers visit a children's department store each hour. Using Poisson distribution, calculate the probability of three customers shopping at the store.

Answer 1

Answer:

The probability is of 0.1404 or 14.04%.

Step-by-step explanation:

The Poisson Distribution formula is given by:

$P(x,\lambda )=\frac{e^{-\lambda } \lambda^{x}}{x!}$

Where:

$\lambda = \mu = \sigma^2$,

$e$ is Euler's constant,

$x$ is the number of successes of which we're trying to calculate the probability of occurring.

In this exercise we have that:

$\lambda = 5\\ x=3$.

Replacing in the formula we get:

$P(x=3,\lambda=5 )=\frac{e^{-5 } 5^{3}}{3!}=0.1404$

Therefore the probability of three customers shopping at the store in an hour is of 0.1404 or 14.04%.