A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 9% will need repairs twice, and 4% 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?
Accepted Solution
A:
Answer:Step-by-step explanation:Given that a consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 9% will need repairs twice, and 4% will require three or more repairs. No of cars -2Each car is independent of the other.Prob that a car does not need repair [tex]= 1-0.20-0.09-0.04 = 0.67[/tex]a) Prob (neither will need repair) =[tex]0.67*0.67=0.4489[/tex]b) Prob (both will need repair) =[tex]0.33*0.33=0.1089[/tex]c) Prob (atleast one will need repair) =1- neither repair =1-0.4489=0.5511