Question

A business owner noted the features of the 100 cars parked at the business. Here are the results:

Sunroof



10



20



0



14



lo 25



2 doors



4 doors



In this sample, are the events "2 doors" and "4 doors" mutually exclusive?

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability is
`P(4 \ doors | sunroof ) = 0.40`

Explanation:

From the question we are told that

The number of cars packed is
`n = 100`

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

This probability is mathematically represented as

`P(4 \ doors | sunroof )`

Baye's Rule define this probability mathematically as

`P(4 \ doors | sunroof ) = (P(4 \ doors \ n \ sunroof ))/(P(sunroof))`

From the diagram

`P(4 \ doors \ n \ sunroof ) = 20`

and
`P(sunroof) = 50`

So

`P(4 \ doors | sunroof ) = (20)/(50)`

`P(4 \ doors | sunroof ) = 0.40`