Answer:
a. Binomial random variable (n=4, p=0.25)
b. Attached.
c. X=1
Step-by-step explanation:
This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).
a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

The sample space for X is {0,1,2,3,4}
The associated probabilties are:

b. The histogram is attached.
c. The most likely value for X is the expected value for X (E(X)).
Is calculated as:

Answer:
6700.80
Step-by-step explanation:
4800*.099= 475.20
475.20*4=1900.80
1900.80+4800=6700.80
Answer: 
Step-by-step explanation:

We need;

We don't have the radius, but we do have the diameter. A diameter is twice the radius. Therefore, we can divide the diameter by 2 in order to obtain the radius.

Now plug this info into the formula.
![(3.14)(12yd)[(12yd)+\sqrt{(18yd)^2+(12yd)^2} ]](https://tex.z-dn.net/?f=%283.14%29%2812yd%29%5B%2812yd%29%2B%5Csqrt%7B%2818yd%29%5E2%2B%2812yd%29%5E2%7D%20%5D)
Let's solve the square root first.
![(3.14)(12yd)[(12yd)+\sqrt{324yd^2+144yd^2} ]](https://tex.z-dn.net/?f=%283.14%29%2812yd%29%5B%2812yd%29%2B%5Csqrt%7B324yd%5E2%2B144yd%5E2%7D%20%5D)
![(3.14)(12yd)[(12yd)+\sqrt{468yd^2} ]](https://tex.z-dn.net/?f=%283.14%29%2812yd%29%5B%2812yd%29%2B%5Csqrt%7B468yd%5E2%7D%20%5D)
![(3.14)(12yd)[(12yd)+\sqrt{468yd^2} ]\\(3.14)(12yd)(12yd+21.63yd)](https://tex.z-dn.net/?f=%283.14%29%2812yd%29%5B%2812yd%29%2B%5Csqrt%7B468yd%5E2%7D%20%5D%5C%5C%283.14%29%2812yd%29%2812yd%2B21.63yd%29)
Now solve the sum

Multiply

My work is in the photo. I'm only still typing because it requires me to have atleast 20 characters