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A consumer organization estimates that over a 1-year period 18% of cars will nee

ID: 3231369 • Letter: A

Question

A consumer organization estimates that over a 1-year period 18% of cars will need to be repaired once, 7% will need repairs twice, and 3% will require three or more repairs. What is the probability that a car chosen at random will need a) no repairs? b) no more than one repair? c) some repairs? a) The probability that a car will require no repairs is (Do not round.) b) The probability that a car will require no more than one repair is (Do not round.) c) The probability that a car will require some repairs is (Do not round.)

Explanation / Answer

a) probability that car require no repair =1-0.18-0.07-0.03=0.72

b)probabilty =P(X<=1)=0.72+0.18=0.90

c)probabilty =1-P(X=0)=1-0.72=0.28

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