A consumer organization estimates that over a 1-year period 17% of cars will nee

Question

A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 9% 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

1)

The probability that a car will require no repair is:

P(None) = 1 - (0.17 + 0.09 + 0.03)

P(None) = 1 - 0.29

P(None) = 0.71

2) The probability that a car will require no more than one repair is:

No repair + One Repair = 0.71 + 0.17 = 0.88

3) The probability that a car will require some repair is:

0.17 + 0.09 + 0.03 = 0.29

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