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
Svet_ta [14]
2 years ago
15

The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event th

at the automobile is damaged, repair costs can be modeled by a uniform random variable on the interval (0, 1500). Determine the standard deviation of the insurance payment in the event that the automobile is damaged.
Mathematics
1 answer:
choli [55]2 years ago
4 0

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

f_x(x) = \dfrac{1}{1500} ; o \le x \le   \  1500

The function of the insurance is:

I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \  \ \ \ 250 \le x \le 1500}} \right.

Hence, the variance of the insurance can also be an account forum.

Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2

here;

E[I(x)] = \int f_x(x) I (x) \ sx

E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx

= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}

\dfrac{5}{12} \times 1250

Similarly;

E[I^2(x)] = \int f_x(x) I^2 (x) \ sx

E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx

= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}

\dfrac{5}{18} \times 1250^2

∴

Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}]

Finally, the standard deviation  of the insurance payment is:

= \sqrt{Var(I(x))}

= 1250 \sqrt{\dfrac{5}{48}}

≅ 404

You might be interested in
Find the value of x.
timofeeve [1]

Answer:

x = 5/3

Step-by-step explanation:

4x= x + 5

3x=5

x = 5/3

5 0
2 years ago
Which value of a would make the following expression completely factored?
Margarita [4]

Answer:

when it ur first question and u make it hard

Step-by-step explanation:

Make it easy btw this is your teacher

6 0
2 years ago
Which of the following rules describes the function graphed below?
lora16 [44]

Answer: Output = 8 − Input

Step-by-step explanation:

do 8 - each input value and you will get the output value

4 0
3 years ago
What the area of this shape is. Please help need to be down by tomorrow!!
puteri [66]

The area of this shape is 12.

Area of a triangle = 1/2 x bh

b= base

h = height

So,

1/2 (6)(4)=12

Hope this helps!

7 0
2 years ago
Read 2 more answers
Gina has 5 2/6 feet of silver ribbon and 2 4/6 of gold ribbon. how much more silver ribbon does gina have than golden ribbon?
MrRissso [65]
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
                                5 2/6 feet - 2 4/6 feet = 8/3 feet 
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon. 
8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the surface area of the figure shown? (use 3.14 for pi)
    6·1 answer
  • Is a bushel bigger than a gallon?
    5·2 answers
  • A random sample of n 5 4 individuals is selected from a population with m 5 35, and a treatment is administered to each individu
    7·1 answer
  • 43 is 31% ofwhat number
    11·2 answers
  • Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
    5·1 answer
  • Dalia has 9 hamsters and 4 fish at her house. Write the ratio of fish to the total number of pets in two different ways (watch w
    5·2 answers
  • Solve the system by Substitution
    11·1 answer
  • What is this answer -1/2 + 1/10
    7·2 answers
  • Julie is roller skating. She can skate 16 mile in 2 minute. What is Julie's rate in miles per minute?
    11·2 answers
  • How many rectangles, of any size are in the figure?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!