Answer:
Input - Output
2 - $290
12 - $690
24 - $1170
Step-by-step explanation:
Cost after n months:
The cost after n months is given by the following function:
After 2 months:
This is C(2). So
After 12 months:
This is C(12). So
After 24 months:
This is C(24). So
Table:
Input - Output
2 - $290
12 - $690
24 - $1170
We want to get the expected value for the given experiment. We will see that the expected value is $2.33
For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have 3 outcomes:
- x₁ = winning $8
- x₂ = winning $2
- x₃ = winning $0.
For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:
p₁ = 1/6
For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:
p₂ = 3/6
For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:
p₃ = 2/6
Then the expected value is:
EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33
If you want to learn more about expected values, you can read:
brainly.com/question/15858152
Answer:
4 min
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
Given:
We need to find 
.
Solution:
Now we can see that given figure is a rectangle with diagonals drawn in it.
So by properties of rectangle which states that;
"All angles of a rectangle are 90°."
So we can say that;
But
Substituting the values we get;
Subtracting both side by by 31 we get;
Hence .
