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`

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 ) = (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 ) = (20)/(50)`

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