Answer: Our required probability is 0.384.
Step-by-step explanation:
Since we have given that
In 24 hours,
λ = 20
In 6 hours,
[tex]\lambda=\dfrac{20}{24}\times 6=\dfrac{20}{4}=5[/tex]
As we know that it is a Poisson distribution.
E[X] = λ = 5
Probability that more than 6 trucks will pass her apartment is given by
[tex]P(X>6)=\sum_{x=6}^{20}\dfrac{e^{-5}\times 5^x}{x!}=0.384[/tex]
Hence, our required probability is 0.384.
