A car dealership sells an average of 10 cars in a day. Using the Poisson model, what is the probability that the dealer sells 8 cars tomorrow?

P(X=8)=11.2599 %

Step-by-step explanation:

According to the Poisson Model:

P=

where:

λ is the average of cars sold

x is the number of cars sold tomorrow

P is the probability of cars sold tomorrow

In our case:

Given data:

λ=10 cars

x=8 cars

Required:

The probability that the dealer sells 8 cars tomorrow=?

Solution:

P(X=8)=11.2599 %

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.