5. Teenage drivers pay more for automobile insurance than older drivers. Also, many insurance companies offer discounts for teenage drivers that achieve good grades. Assume that 20% of all teenage drivers are involved in accidents each year. Assume that 10% of all teenage drivers have GPAs that are 3.5 or above. Of the teenage drivers involved in accidents, only 5% of them have GPAs that are 3.5 or above.
a) Let A be the event that a teenager has a GPA of 3.5 or above. Let B be the event that a teenage driver is involved in an accident this year. Find P(A) and P(B).
b) Find P(A given B)
c) Find the probability that a randomly chosen teenage driver has a GPA of 3.5 or above and is involved in an accident this year.

Question

5.   Teenage drivers pay more for automobile insurance than older drivers. Also, many insurance companies offer discounts for teenage drivers that achieve good grades. Assume that 20% of all teenage drivers are involved in accidents each year. Assume that 10% of all teenage drivers have GPAs that are 3.5 or above. Of the teenage drivers involved in accidents, only 5% of them have GPAs that are 3.5 or above.
a) Let A be the event that a teenager has a GPA of 3.5 or above. Let B be the event that a teenage driver is involved in an accident this year. Find P(A) and P(B).  
b) Find P(A given B)
c) Find the probability that a randomly chosen teenage driver has a GPA of 3.5 or above and is involved in an accident this year.

anonymous · Answer

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