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
Elenna [48]
3 years ago
11

In any​ year, the weather can inflict storm damage to a home. From year to​ year, the damage is random. Let Y denote the dollar

value of damage in any given year. Suppose that in 95​% of the years Y​ = ​$0​, but in 5​% of the years Y ​= ​$20,000.
A. The mean of the damage in any year is ​$__. nothing. The standard deviation of the damage in any year is ​$____.
B. Consider an​ "insurance pool" of 100 people whose homes are sufficiently dispersed so​ that, in any​ year, the damage to different homes can be viewed as independently distributed random variables. Let barY denote the average damage to these 100 homes in a year. The expected value of the average damage barY, is ​$____. The probability that exceeds ​$is____.
Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

a. mean = 1000

standard deviation = 4358.9

b. expected value of average damage bar Y = 1000

probability bar y exceeds 2000 = 0.011

Step-by-step explanation:

we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000

Mean = (0.95 * 0) + (0.05 * 20000)

= 1000

var(y) = E(y²) - E(Y)²

= we solve for E(y)²

= 0²*0.95 + 20000²*0.05

= 0 + 20000000

then the variance of y = 20000000 - 1000²

=20000000-1000000

= $19000000

standard  deviation is the square root of variance

= √19000000

= 4358.9

2.

a. Expected value of average is also the mean = 1000

b. we are to find probability that barY exceeds 2000

z=\frac{2000-1000}{\sqrt{19000000/100} }

= 1000/435.889

= 2.29

1-p(z≤2.29)

= 1 - 0.989

= 0.011

so the probability that barY exceeds 2000 is 0.011

You might be interested in
Solve for a: 1/4a-17=-15
MAXImum [283]
1/4a-17=-15
1/4a=-15+17
1/4a=2
(1/4*4)a=(2*4)
a=8

4 0
3 years ago
How is do does I don’t know how do does
Akimi4 [234]
Huh? I’m not sure I understand what I just said...
8 0
3 years ago
Is it still blurry? or can u see it now
PilotLPTM [1.2K]
I can see it bbbbjnjhggg
6 0
3 years ago
Please can someone help me answer these questions? Would be really grateful if it was done by the 12th of January. Thank you :)
FrozenT [24]
1. 4g= 37-5
 ⇒ 4g= 32
⇒ g= 32/4
⇒ g= 8

2. c= 5*6
⇒ c= 30

3. f+4= 3*5
⇒f+4= 15
⇒ f= 15-4
⇒ f= 11.

4. b+6= 30/5
⇒ b+6= 6
⇒ b= 6-6
⇒ b=0

5. a-5= 60/5
⇒ a-5= 12
⇒ a= 12+5
⇒ a= 17

6. e+2= 45/5
⇒ e+2= 9
⇒ e= 9-2
⇒ e= 7

7. d-5= 12/3
⇒ d-5= 4
⇒ d= 4+5
⇒ d= 9

8. m-4= 16/4
⇒ m-4= 4
⇒ m= 4+4
⇒ m= 8

9. q+6= 30/5
⇒ q+6= 6
⇒ q= 6-6
⇒ q= 0

10. h/3= 3+5
⇒ h/3= 8
⇒ h= 8*3
⇒ h= 24

11. 3c= 3-5
⇒ 3c= -2
⇒ c= -2/3

12. x/3= 6-7
⇒ x/3= -1
⇒ x= -1*3
⇒ x= -3

13. 6p= 2+1
⇒ 6p= 3
⇒ p= 3/6
⇒ p= 1/2

14. 2d-7= 27/3
⇒ 2d-7= 9
⇒ 2d= 9+7
⇒ 2d= 16
⇒ d= 16/2
⇒ d=8

15. b-3= 5/2
⇒ b-3= 2.5
⇒ b= 2.5+3
⇒ b= 5.5

16. y-1= 1/3
⇒ y= 1/3+1
⇒ y= 1 1/3

17. 5v= 9-3
⇒ 5v= 6
⇒ v= 6/5
⇒ v= 1.2

18. n-3 = 3*6
⇒ n-3= 18
⇒ n= 18+3
⇒ n= 21

19. t+10= 1*4
⇒ t+10= 4
⇒ t= 4-10
⇒ t= -6

20. 3c+4= 3*5
⇒ 3c+4= 15
⇒ 3c= 15-4
⇒ 3c= 11
⇒ c= 11/3
⇒ c= 3 2/3

Hope this helps~
6 0
3 years ago
Read 2 more answers
I need help! Dilation with points on a grid!
ryzh [129]

Answer:

D'(-6,-4)

Step-by-step explanation:

When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Fred begins walking toward johns house at 3 miles per hour. John leaves his house at the same time and walks towards Fred’s hous
    9·1 answer
  • Hello can you please help me posted picture of question
    14·1 answer
  • Both pairs of opposite sides of a parallelogram are what?
    5·1 answer
  • Plz help me with this <br> G(x) F(x)
    9·2 answers
  • What is the value of expression? 5−8 • 5−4<br> a. 532<br> b. 54<br> c. 5−4<br> d. 5−12
    12·1 answer
  • It takes karina 36 minutes to solve 22 problems. What is her unit rate in problems per minute
    6·1 answer
  • I need help in this sum plss
    13·2 answers
  • Find the value of x. <br> 65°<br> (x + 12°)
    12·1 answer
  • In need this quickly
    12·1 answer
  • Jace took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.40 plus $2.25 per mile. The total f
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!