how to do part c)? please help me thank you. On an icy day of a City, the probab
ID: 3133979 • Letter: H
Question
how to do part c)? please help me thank you.
On an icy day of a City, the probability that there will be a serious car accident occurred is 0.04. If the day is not icy, the probability of a serious car accident occurred is 0.01. In the month of January, 25% of time is icy.
(a) Find the probability that 13th January is an icy day and there is a serious accident.
(b) Find the probability that there is a serious accident occurring on 13th January.
(c) Find the probability that 13th January is icy if there is a serious accident on the day.
(d) What is the probability that exactly 1 day is icy if a serious accident occurred on both January 13th and 14th?
Explanation / Answer
c) probability that 13th January is icy if there is a serious accident on the day = P(13th is icy and there is serious accident)/P(Accident happens on 13th)= (0.25*0.04)/(0.25*0.04+0.75*0.01) = 0.5714
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