Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($330 million) is .35, the probability of total loss of the facility ($830 million) is .35, and the probability of no loss is .30.

Find the expected loss. (Input the amount as a positive value.)

What is Expected Loss ___ $ million???

$406,000,000

Step-by-step explanation:

Given that:

During the next five years;

the probability of total loss of only the above-water superstructure ($330 million) = .35

the probability of total loss of the facility ($830 million) = .35

the probability of no loss = .30

The Expected loss is being calculated by using the summation of both the  total loss amount with their corresponding probability of loss

i.e

Expected Loss = Σ ($ 330,000,000 × .35) + ($ 830,000,000 × .35)

Expected Loss = $ 115,500,000 + $ 290,500,000

Expected Loss = $ 406,000,000

the answer is c. 23/3

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!