
Statistics question
Thanks to the one who tackles this question.
The probability is 1 in 4,000,000 that a single auto trip in the U.S. 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? Explain reasoning.

Prob of fatality = 1/40000000
Prob of not fatal = 39999999/40000000 (using 1  prob of fatality)
Driver makes 5000 drives
you can model this using a binomial distribution
X ~ B(5000,1/40000000)
Probablity that he has n fatalities =
50000CN*(1/400000000)*(39999999/400000000)
Hope this helps. Im not sure if this is correct but it is what i would do. NB: i approximated at the number of zero's as I was in a hurry. Alter as appropriate)