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.
I am having trouble with this question I would appreciate it if someone could help me please. :)
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.
I am having trouble with this question I would appreciate it if someone could help me please. :)
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you have 100 drivers 20 of them have accidents.
P(B) 20%
10 drivers have GPA 3.5+
P(A) 10%
100 drivers have accidents, only 5% of them have GPA 3.5+
P (A given B) = 5%
100 drivers, 20% have accidents
20 accidents 5% have GPA...
5% 20 = 1%
P(B) 20%
10 drivers have GPA 3.5+
P(A) 10%
100 drivers have accidents, only 5% of them have GPA 3.5+
P (A given B) = 5%
100 drivers, 20% have accidents
20 accidents 5% have GPA...
5% 20 = 1%