question archive The probability a car is serviced under warranty is known to be 25% and the probability a car being a fully imported model is 46%
The probability a car is serviced under warranty is known to be 25% and the probability a car being a fully imported model is 46%
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The probability a car is serviced under warranty is known to be 25% and the probability a car being a fully imported model is 46%. The probability a car is serviced under warranty and is a fully imported model is 9%. What is the probability a car is imported or serviced under warranty? (2 decimal places)
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Answer:
The probability of a car serviced under warranty is P (W) = 25% = 0.25
The probability of a car being fully imported is P (I) = 46% = 0.46
The probability of a car is serviced under warranty and is fully imported is P ( W and I) = 9% = 0.09
Though the probability of a car serviced under warranty P (W) and the probability of a car being fully imported P (I) not mutually exclusive
The Probability a Car is Imported or Serviced under warranty is P ( W or I) = P(W) + P(I) - P( W and I)
P (W or I) = 0.25 + 0.46 – 0.09 = 0.62
The Probability of a Car is Imported or Serviced under warranty is P( W or I) = 0.62
