SOLUTION: The probability is 1 in 4,000,000 that a single auto trip in the united states will result in a fatality. Over a liftime, an average u.s. driver takes 50,000 trips. What is the pro

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Question 329486: The probability is 1 in 4,000,000 that a single auto trip in the united states will result in a fatality. Over a liftime, an average u.s. driver takes 50,000 trips. What is the probability of a fatal accident over a lifetime?
1 / 4,000,000 = 0.00000025 0.00000025/50000 = 0.000000000005

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The probability is 1 in 4,000,000 that a single auto trip in the united states will result in a fatality. Over a liftime, an average u.s. driver takes 50,000 trips. What is the probability of a fatal accident over a lifetime?
1 / 4,000,000 = 0.00000025 0.00000025/50000 = 0.000000000005
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Binomial with n = 50,000 and p = 1/4million
The result of each trip is independent of every other trip.
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P(x = 1) = (50,000,1/4000000,1) = 50,000*(1/4000000)^1*1 = 0.0125
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Cheers,
Stan H.

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