Answer:
a. mean = 1000
standard deviation = 4358.9
b. expected value of average damage bar Y = 1000
probability bar y exceeds 2000 = 0.011
Step-by-step explanation:
we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000
Mean = (0.95 * 0) + (0.05 * 20000)
= 1000
var(y) = E(y²) - E(Y)²
= we solve for E(y)²
= 0²*0.95 + 20000²*0.05
= 0 + 20000000
then the variance of y = 20000000 - 1000²
=20000000-1000000
= $19000000
standard deviation is the square root of variance
= √19000000
= 4358.9
2.
a. Expected value of average is also the mean = 1000
b. we are to find probability that barY exceeds 2000
= 1000/435.889
= 2.29
1-p(z≤2.29)
= 1 - 0.989
= 0.011
so the probability that barY exceeds 2000 is 0.011
Answer:
<em>d</em> = 
or 8.60
Step-by-step explanation:
(5, 8) (-2, 3)
Let 5 = 
8 = 
-2 = 
3 = 
Plug in the values into the equation to get the distance:
<em>d = </em>
<em />
<em>d </em>= 
<em>d = </em>
<em>d</em> = 
<em>d = </em> or 8.60
Answer:
$960
Step-by-step explanation:
You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.
<em>I = interest amount
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal form)
</em>
<em>t = time
</em>
The first step is to change 3% into a decimal:
3% -> 
-> 0.03
Now, lets plug in the values into the equation:
Jameson will be charged $960 of interest after 4 years.
31.5% of 473 can be calculated as follows
(31.5/100) * 473
= 14899.5/100
= 148.99
hope it helped
