A car manufacturer keeps a data base of all the cars that are availabl

tapetivk

tapetivk

Answered question

2021-12-04

A car manufacturer keeps a data base of all the cars that are available for sale at all the dealerships for model A the database reports that 36% have leather 41% have a sunroof and 52% have neither determin the probability of model A car at a dealership having both leather and a sunroof

Answer & Explanation

Mespirst

Mespirst

Beginner2021-12-05Added 17 answers

Step 1
Given information-
We have given a database of all the cars that are available for sale at all the dealerships for model A.
P(leather)=0.36
P(sunroof)=0.41
P(neither leather nor sunroof)=0.52
The cars having both leather seats or having sunroof =10052=48%=0.48
We have to find the probability of a model A car at a dealership having both leather and a sunroof.
Step 2
So the probability of model A car at a dealership having both leather and a sunroof is-
P(leather and sunroof)=P(leather)+P(sunroof)P(leather or sunroof)
P(leather and sunroof)=0.36+0.410.48
P(leather and sunroof)=0.29
Hence, the probability of a model A car at a dealership having both leather and a sunroof is 0.29.

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