Question

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

Sunroof

1820

14

0

25

2 doors

4 doors

Given that a randomly selected car has a sunroof, find the probability the car has 4 doors.

P (4 doors sunroof) =

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability is  $P (4 \ doors | sunroof ) = 0.4$

Step-by-step explanation:

From the question we are told that

     The number of packed cars is  $n = 100$

The probability that the randomly selected car which  has a sunroof , will also have four door is mathematically represented below according to Baye's Rule

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

So from the diagram

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

and     $P(sunroof ) = 50$

        So

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

              $P (4 \ doors | sunroof ) = 0.4$