A consumer organization estimates that over a​ 1-year period 16​% of cars will need to be repaired​ once, 9​% will need repairs​ twice, and 3​% will require three or more repairs. If you own two​ cars, what is the probability that
​a) neither will need​ repair? ​
b) both will need​ repair? ​
c) at least one car will need​ repair?

Respuesta :

Answer:

A consumer organization estimates that over a​ 1-year period 16​% of cars will need to be repaired​ once, 9​% will need repairs​ twice, and 3​% will require three or more repairs..

We have the cars that do not need repair =[tex]100-(16+9+3)=72[/tex]%

(16+9+3=28% cars need repair of some sort)

What is the probability that  :

​a) neither will need​ repair? ​

=> [tex]0.72\times0.72=0.5184[/tex]

b) both will need​ repair? ​

=> [tex]0.28\times0.28=0.0784[/tex]

c) at least one car will need​ repair?

=> [tex]1-(0.72\times0.72)[/tex]

=> [tex]1-0.5184=0.4816[/tex]

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