2a) In good and bad weather conditions, 1/20 and 1/8 of the accidents result in death, respectively. Good weather conditions occur 60% of the time and bad weather conditions occur 40% of the time.

i) Calculate the probability of an accident occuring in good weather conditions and resulting in death. Use multiplication rule of probablity.

ii) Calculate the probability of an accident resulting in death. Use the total rule of probability.

iii) Given that an accident resulted in death, what is the probability that it was bad weather condition at the time? Use Bayes rule.