Answer:
what is the answer
Step-by-step explanation:
I'm doing the test right now
Answer: The friend won the round.
Step-by-step explanation:
We want to find the lowest score.
The lowest score means the smallest value.
With intergers, as the number gets farther away from zero to the left, the smaller the value is. The middle number is zero on a number line. The numbers to the left of zero are negative. The number to the write of zero are positive.
As you move to the left on the number line, the numbers get smaller. As you move to the right on a number line, the values get bigger
Since -4 is farther away from zero to the left on a number line than -3, -4 is smaller.
Hence -4 is smaller than -3. -4 is one more to the left than -3 so -4 is smaller than -3.
Hence the friend won the round.
Answer:
35.35%
Step-by-step explanation:
If there were no deductibles, the expected claim payment would be:
![E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%5Cfrac%7B10%2C000%20%2B1%2C000%7D%7B2%7D%20%5C%5CE%28X%29%20%3D%5C%245%2C500)
If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:
![E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56](https://tex.z-dn.net/?f=E_2%28X%29%3D%5Cfrac%7B2%2C000-1%2C000%7D%7B10%2C000-1%2C000%7D%20%2A0%2B%5Cfrac%7B10%2C000-2%2C000%7D%7B10%2C000-1%2C000%7D%2A%5Cfrac%7B%282%2C000-2%2C000%29%2B%2810%2C000-2%2C000%29%7D%7B2%7D%20%5C%5CE_2%28X%29%3D%5Cfrac%7B8%7D%7B9%7D%2A%5Cfrac%7B0%2B8%2C000%7D%7B2%7D%5C%5C%20E_2%28X%29%3D%5C%243%2C555.56)
The percentage reduction on the claim payment is:
![P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%](https://tex.z-dn.net/?f=P%3D%281-%5Cfrac%7BE_2%28X%29%7D%7BE%28X%29%7D%29%2A100%20%5C%5CP%3D%281-%5Cfrac%7B3%2C555.56%7D%7B5%2C500%7D%29%2A100%5C%5CP%3D35.35%5C%25)
There was a 35.35% reduction.