A passenger can travel from home to another city by car (C), ship (S), place (P), or train (T). In a given year, the passenger made such a trip, 80, 15, 100, 50 times by C, S, P, T, respectively. The probability of an aaccident (A) during a trip using these modes of transportation is estimated to be 1x10^-5, 5x10^-5, 1x10^-6, and 5x10^-6, respectively.
These are the following questions. Answer and please show your work and explain if not too much trouble.
a) What is the probability of an accident during a trip?
b) If there was an accident, what is the probability that the passenger was traveling by car (C)?
c) what is the probabilty of an accident in the next 10 trips?