SOLUTION: An insurance company survey shows that 95% of all Ontario drivers wear seatbelt. For those who wear seatbelt, it is estimated that the chance of getting a serious injury in a car a

Algebra ->  Probability-and-statistics -> SOLUTION: An insurance company survey shows that 95% of all Ontario drivers wear seatbelt. For those who wear seatbelt, it is estimated that the chance of getting a serious injury in a car a      Log On


   



Question 1166939: An insurance company survey shows that 95% of all Ontario drivers wear seatbelt. For those who wear seatbelt, it is estimated that the chance of getting a serious injury in a car accident is 16%. For those who do not wear a seatbelt, the chance of getting a serious injury is 79%.
If
B
represents the event of wearing a seatbelt,
¯¯¯
B
is the event of not wearing a seatbelt,
I
is the event of serious injury, and
¯
I
is the event of not sustaining a serious injury,


(c) If in a randomly selected car accident the driver was seriously hurt, the probability that the driver was not wearing seatbelt is

(d) If in a randomly selected car accident the driver was not seriously hurt, the probability that the driver was wearing seatbelt is

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
=======SI========NSI====Total
W======152 ======798====950
NoS=====39.8=====10.2====50
Total====191.8==== 808.2==1000
Seriously hurt is 191.8 and not wearing a seatbelt if 39.8/191.8 or 20.75%
Not seriously hurt is 808.2 and wearing seatbelt was 798 or 98.74%