SOLUTION: From experience, a battery manufacturer knows the probability of a battery being defective is .08. If a retail customer buys four batteries, what is the probability that none of t

Question 177904: From experience, a battery manufacturer knows the probability of a battery being defective is .08. If a retail customer buys four batteries, what is the probability that none of the batteries are defective? ___________
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Battery quality is an independent event, probabilities multiply.
Probability of 1 defect free battery = 1-0.08=0.92
Probability of 2 defect free batteries= 0.92*0.92=0.846.
Probability of 3 defect free batteries= 0.92*0.92*0.92=0.779.
Probability of 4 defect free batteries= 0.92*0.92*0.92*0.92=0.716.
The probability is 71.6% that you'll have 4 defect free batteries.

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