# calculus

posted by .

The probability 1 in 4,000,000 will result in an acident.
over a life time an average driver takes 50,000 trips.
what is the probability of an accident over a lifetime

• calculus -

That would be one MINUS the probabilty of NOT having an accident 50,000 trips in a row. That is equal to
P = 1 - (1/4*10^6)^50,000
= 1 - (0.99999975)^5*10^4 = 1 - .9876
= 0.0124 , or 1 in 80.

This must refer to FATAL accidents. Most drivers have at least one accident during their lifetime.

The 1 in 4 million refers to the probability of a fatality in a single trip. You did not state all the facts of the problem.

## Similar Questions

1. ### statistical research

The probability 1 in 4,000,000 will result in an acident. over a life time an average driver takes 50,000 trips. what is the probability of an accident over a lifetime
2. ### probability problem

The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime?
3. ### PROBABILITY

5.70 The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime?
4. ### statistics

5.70 The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime?
5. ### Statistics

Suppose that the probability is 1 in 3,900,000 that a single auto trip in the United States will result in the death of the driver. Over a lifetime, an average U.S. driver takes 50,000 trips. Assume that events are independent: (a) …
6. ### Probability

Suppose that the probability is 1 in 3,900,000 that a single auto trip in the United States will result in the death of the driver. Over a lifetime, an average U.S. driver takes 50,000 trips. Assume that events are independent: (a) …
7. ### probability

Suppose that the probability is 1 in 3,900,000 that a single auto trip in the United States will result in the death of the driver. Over a lifetime, an average U.S. driver takes 50,000 trips. Assume that events are independent: (a) …
8. ### Research

The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime?
9. ### math

The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime?
10. ### statistics

The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least \$98,000. 112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 …

More Similar Questions