![SavageKidKobe](/avatars/26774.jpg)
SavageKidKobe
17.07.2020 •
Mathematics
Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference
Solved
Show answers
More tips
- S Style and Beauty Why is Sugaring Better than Waxing for Hair Removal?...
- W Work and Career Where can you learn to be a flight attendant?...
- G Goods and services How to Properly Calculate the Power of Your Air Conditioner?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics Solve: −5(x + 6) = 15 a) x = 9 b) x = 3 c) x = −9 d) x = 21 5...
- M Mathematics Which of the following pollygons cannot be used to form a regular tessellation...
- M Mathematics Eddie worked at beep-n-kleen car wash. he earned $8.40 per hour. last week he worked extra hours at his rate. express his gross pay algebraically....
- M Mathematics Which choice is equivalent to the product below? square root of 3 divided by 16 times the square root of 3/9...
- M Mathematics Taylor starts her savings with $10 and plans to save $20 a week. after how many weeks will taylor have saved enough to purchase a laptop that costs 320 ?...
- M Mathematics Me i have posted this 6 times already : ( : )...
- M Mathematics Ineed this quickly! devon purchased tickets to an air show for 8 adults and 2 children. the total cost was $166. the cost of a child s ticket was $7 less than the cost of...
- M Mathematics Jayce is a taxi driver. m(n) models jayce s fee (in dollars) for his nth drive on a certain day. what does the statement m(10) = k mean? choose 1 a jayce s fee for his kth...
- M Mathematics Vertex (-2,4) focus (-2,6) find the equation...
- M Mathematics You spend $27 on seven bags of candy to throw while you participate in a parade. the bags cost either $5 or $3. how many bags of each amount did you purchase?...
Ответ:
This is not the complete question, the complete question is:
Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y
A) 0
B) 33
C) 296
D) 303
E) 533
B) 33
Step-by-step explanation:
First lets say;
z: automobile claim amounts
x: the claim amount dived by 1000
y: x rounded to the nearest integer from 0 to 10
z ≅ V[0, 10,000]
x = z / 1000 ≅ V[0, 10 ] ⇒ Fx { 1/10, 0 ≤ x ≤ 10} 0, 0/10
y = {0, 0 ≤ x < 0.5
1, 0.5 ≤ x < 1.5
2, 1.5 ≤ x < 2.5
3, 2.5 ≤ x < 3.5
↓
9, 8.5 ≤ x < 9.5
10, 9.5 ≤ x < 10
SO 4th moment of x = E(x²) = ∫₀¹⁰x⁴ 1/10 dₓ
= 1/10 (x⁵ / 5)₀¹⁰
= 10⁵ / (10 * 5)
= 100000/50
= 2000
Now
4th moment of y = E(y⁴) = ∑/y y⁴ p( y=y)
= 0⁴p( y=0) + 1⁴p( y=1 ) + 2⁴p( y=2) + → + 10⁴p( y=10)
= 0 + 1⁴.p( 0.5 ≤ x < 1.5) + 2⁴.p( 1.5 ≤ x < 2.5) + 3⁴.p( 2.5 ≤ x < 3.5 ) + → + 10⁴.p( 9.5 ≤ x < 10 )
= 1/10 [ 1⁴(1.5 - 0.5) + 2⁴(2.5 - 1.5) + → + 9⁴(9.5 - 8.5) + 10⁴(10 - 9.5)]
= 1/10 [ 1⁴ + 2⁴ + → + 9⁴ + 1/2*10⁴] = 2033.3
now the absolute difference will be
AD = ║E(x⁴) - E(y⁴)║
= ║ 2000 - 2033.3║
= 33.3 ≈ 33
Ответ:
⇒ which equal 1 1/2