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  $P(4 \ doors | sunroof ) = 0.40$

Step-by-step 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

             $P(4 \ doors | sunroof ) = \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}$

   From the diagram

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

and     $P(sunroof) = 50$

So

      $P(4 \ doors | sunroof ) = \frac{20}{50}$

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