help please statistic
posted by HELEN .
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. (5 points)
Respond to this Question
Similar Questions

statistic help pls
a car insurance company has determined that 6% of all drivers were involved in a car accident last year,among the 12 drivers living on one particular street,3 were involved a car accident last year.if 12 drivers are randomly selected … 
Statistics
2.) Car insurance companies assume that the longer a person has been driving, the less likely they will be in an accident, and therefore charge new drivers higher insurance premiums than experienced drivers. To determine whether driving … 
Stats
A car insurance company has determined that 7% of all drivers were involved in a car accident last year. The company randomly selects 200 drivers. Compute the mean and standard devistion of the random variable, x, the number of drivers … 
Statistics
A consumer agency wanted to investigate if four insurance companies differed with regard to the premiums they charge for auto insurance. The agency randomly selected a few auto drivers who were insured by each of these four companies … 
Statistics
A consumer agency wanted to investigate if four insurance companies differed with regard to the premiums they charge for auto insurance. The agency randomly selected a few auto drivers who were insured by each of these four companies … 
Statistics
Before i state my question I would like to note that I have to do a one tailed test but i don't know how to with the information given. I need a standard deviation, i need a mean, but do i use the mean for yrs drivin or number accidents. … 
statistics (college
An insurance company checks police records (in a city) on 500 accidents selected at random and notes that teenagers were at the wheel in 120 of them. It is desired to test if this information indicate that more than 20% of auto accidents … 
statistics
Drivers pay an average of (mean $690) per year for automobile insurance the distribution of insurance payments is approximately normal with a standard deviation of 110 dollars. What proportion of drivers pay more than 100 dollars per … 
statistics
Drivers pay an average of (mean $690) per year for automobile insurance the distribution of insurance payments is approximately normal with a standard deviation of 110 dollars. What proportion of drivers pay more than 100 dollars per … 
drivers ed test
3. one way the national highway safety act helps drivers nationwide is by providing guidelines for maintenance on national highways requiring that all drivers have a federal drivers license providing drivers with insurance setting …