The expected value formula is

We know that there are 125 tickets, so the probability of the ticket is

Then, we find the expected value

<h2>Hence, the expected value is $7.60.</h2>
A.

Since about 95% of a normal distribution falls within two standard deviations of the mean, that leaves 5% that lie without, with 2.5% lying to either side.

b.

About 68% of a normal distribution lies within one standard deviation of the mean, so this probability is about 0.68.
c. You're looking for

such that

Since

occurs for

, it follows that

So there's a probability of 0.10 for having a demand exceeding about 1328 pounds.
Hey there! I'm happy to help.
Let's think of the line segment KM as a road. It starts at point K and ends at M. You start driving from point K and after 4 miles, you have reached point L. The segment KL is equal to 4 because the distance between K and L is 4.
From point L to point M, you drive 11 miles. You are now at the end of the road. We want to find out how long the road is.
From point K to point L, you drove for 4 miles.
Then, from L to M, you drove 11.
We combine these...
11+4=15
The length of KM is 15.
Have a wonderful day! :D
Okay, for the first part, you just add it all together. So 7x+19x+9+18. For the second part, just combine like terms. So you would get 26x+27.
Thirty-six million four hundred twenty-seven thousand five hundred eighty.