How do I solve this?
2 answers:
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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
a - length of side of a square
t - length of side of a triangle
The perimeter of a square:
The perimeter of a triangle:
We have the area of a triangle:
The formula of an area of an equilateral trinagle:
Substitute:
<em>multiply both sides by 4</em>
<em>divide both sides by
</em>
The perimeter of a triangle:
Substitute to the formula of a perimeter of a square:
<em>divide both sides by 4</em>
The formula of a diagonal of a square:
Substitute: