answer.
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
Radda [10]
2 years ago
15

An insurance company insures red and green cars. An actuary compiles the following data: Color of car Red Green Number insured 3

00 700 Probability an accident occurs 0.10 0.05 Probability that the claim exceeds the deductible, given an accident occurs from this group 0.90 0.80 The actuary randomly picks a claim from all claims that exceed the deductible. Calculate the probability that the claim is on a red car.
Mathematics
1 answer:
julsineya [31]2 years ago
3 0

Answer:

2.7%

Step-by-step explanation:

Since the probability of having and accident or exceed the deductible does not depend on the color of the car, the events are independent.

Recall that if two events A and B with probabilities P(A), P(B) of occurrence are independent, then

P(A ∩ B) = P(A)P(B)

There is a 300/1000 = 0.3 probability of choosing a random car. So, if the actuary randomly picks a claim from all claims that exceed the deductible,the probability that the claim is on a red car is

0.3*0.10*0.9 = 0.027 or 2.7%

You might be interested in
What is the domain and range of the equation y=500(1.08)^x
Marina CMI [18]
(x) is an element of a real number. This means it could be an integer, fraction or irrational number.

* As x approaches infinity, y approaches infinity.

* As x approaches minus infinity, y approaches 0.

-------------

Domain:

(x) is an element of a real number

Range:

y>0
6 0
2 years ago
A worker is paid rs. 2130 for 6 days .if his total wage during a month is rs. 9230 find the number of days he worked in the mont
Katyanochek1 [597]

Answer:

26 days

Step-by-step explanation:

If 6 days = rs. 2130

then 1 day = (2130 × 1) ÷ 6

Therefore 1 day = rs 355

For rs. 9230, the number of days he worked:

= 9230 ÷ 355

= 26 days

4 0
2 years ago
sarah teaches craft classes. she has 214 bags of beads. each bag has enough beads for 22 bracelets. she estimates tht since 200
ANEK [815]
Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.

The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.

Of course, if you want to be sure, you should ask Sarah some questions. For example:

1) What proportion of beads are normally deffective?

2) What proportion of beads are normally lost when crafting?

So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.
6 0
2 years ago
Assume that the ages for first marriages are normally distributed with a mean of 26 years and a standard deviation of 4 years. W
Snowcat [4.5K]

Answer:

0.7743

Step-by-step explanation:

Mean of age = u = 26 years

Standard Deviation = \sigma = 4 years

We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.

Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

z=\frac{x-u}{\sigma}

20 converted to z score will be:

z=\frac{20-26}{4}=-1.5

30 converted to z score will be:

z=\frac{30-26}{4}=1

So, now we have to find the probability that the z value lies between -1.5 and 1.

P( 20 < x < 30) = P( -1.5 < z < 1)

P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)

From the z-table:

P(z < 1) = 0.8413

P(z < -1.5) =0.067

So,

P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743

Thus,

P( 20 < x < 30) = 0.7743

So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743

6 0
2 years ago
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Naya [18.7K]

Answer: 27 days

Step-by-step explanation:

Hi, to answer this question we have to apply inverse relation:

Since it takes 24 electricians 36 days to wire a new housing subdivision, the relation is:

24 (36)  

For 32 electricians:

24(36) = 32 (x)

Solving for x (days)

864 =32x

864/32 =x

x= 27 days

Feel free to ask for more if needed or if you did not understand something.

6 0
2 years ago
Other questions:
  • Classifying the fruit in a basket as apple, orange, or banana, is an example of the ___________ level of measurement?
    15·2 answers
  • Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hou
    9·2 answers
  • Three people toss a fair coin and the odd one pays for coffee. if the coins all turn up the same, they are tossed again. find th
    7·1 answer
  • The measure of ∠1 =<br><br> 55<br> 62.5<br> 110
    10·2 answers
  • your grades on tests 1 2 and 4 are 82 76 and 90. unfortunately you cut the third test and received a 0. If you have one test lef
    6·1 answer
  • The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randoml
    7·1 answer
  • Jillian has three different bracelets (x y and z) to give to her friends as gifts In any order she prefers if the bracelet y is
    8·1 answer
  • A 1,200-kg automobile is traveling at a velocity of 100 m/s. Is its energy potential or kinetic? How much energy does it possess
    10·1 answer
  • A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estim
    15·2 answers
  • Match the inequality to the word problem.Katie wants to have at least $200 in her bank
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!