1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
34kurt
3 years ago
11

ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th

ree groups in the proportions 30 percent, 50 percent, and 20 percent, respectively. The probability a "good" driver will have an accident is .01, the probability a "medium" risk driver will have an accident is .03, and the probability a "poor" driver will have an accident is .10. The company sells Mr. Brophy an insurance policy and he has an accident. What is the probability Mr. Brophy is: a. A "good" driver? b. A "medium" risk driver? c. A "poor" driver?
Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

a.P(E_1/A)=0.0789

b.P(E_2/A)=0.395\

c.P(E_3/A)=0.526

Step-by-step explanation:

Let E_1,E_2,E_3 are the events that denotes the good drive, medium drive and poor risk driver.

P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20

Let A be the event that denotes an accident.

P(A/E_1)=0.01

P(A/E_2=0.03

P(A/E_3)=0.10

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem,P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}

We have to find P(E_1/A)

Using the Bayes theorem

P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}

Substitute the values then we get

P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}

P(E_1/A)=0.0789

b.We have to find the probability Mr.Brophy is a medium driver

P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395

c.We have to find the probability Mr.Brophy is a poor driver

P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526

You might be interested in
A sample of juniors and seniors were asked if they plan to attend college.
maksim [4K]

Answer:

From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:

C. Given the student plans to attend college, the probability the student is a junior is 68%.

D. Given the student is a junior, the probability the student plans to attend college is 68%.

F. Events "is a senior" and "plans to attend" are independent.

B. The probability the student plans to attend college is 70%.

Step-by-step explanation:

3 0
2 years ago
Convert the decimal expansion 0.31717 to a fraction.
Ipatiy [6.2K]
0.31717 can be written as the fraction <span>31717/100000.

I hope this help :P</span>
4 0
3 years ago
Find a counterexample for the statement. <br> If p is prime, then p2 + 4 is prime.
uysha [10]
P=2 then 2^2+4=8
P=11 then 11^2+4=125
7 0
3 years ago
Jenny is cooking a chicken for dinner. A chicken needs to be cooked for 40 mins per kilogram, plus an extra 20 mins. How long wi
goldenfox [79]

1.679 kg * (40 min)/(kg) + 20 min = 67.16 min + 20 min = 87.16 min

7 0
3 years ago
The table shows the numbers of black, white, and blue cars sold by a
LenKa [72]
The next year one day tomorrow
4 0
2 years ago
Other questions:
  • bill furrier marks up mink coats $3000. This represents 50% markup on cost. what is the cost of the coats?
    7·1 answer
  • Two rentalCar companies charge different prices when you rent a car. Company a charges $.28 per mile and a $50 fee. Company B ch
    6·1 answer
  • Which one of the following distances is the longest. .1 meter, .001 km, 101 mm or 101 cm
    15·1 answer
  • I have 6 vertices and 9 edges how many faces?
    13·2 answers
  • Divide<br> 2/3 divided by 1/6<br> =
    8·2 answers
  • Pleaseee helpppp
    13·2 answers
  • Write the equation of a line with a slope of-5/7 and a y-intercept of 1.​
    14·1 answer
  • I will give brainliest help please
    15·1 answer
  • If f(x)=(x-4 +6, then f(2)= ?<br> (1) 12<br> (3) -4<br> (2) 8<br> (4) 4
    9·1 answer
  • Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!