Answer:
Step-by-step explanation:
If you're talking about a square, then the area would be 40.
If you're talking about a triangle, then the area would be 20.
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Answer:
b.
Step-by-step explanation:
Seats to minutes = 2 to 11:
2/11 = s/m.
When s = 16:
2/11 = 16/m
m = 11*16 / 2
= 176/2
= 88 minutes.
When s = 19:
2/11 = 19 / m
m = 11*19 / 2
m = 209/2
= 104.5 minutes.
Y ~ Po (λ)
P(Y < 2) = P(Y ≤ 1) = 0.04
Plug into the pdf for Po(λ), and solve for λ
After that, use your answer to find P(Y > 5)
A=850×(1+0.08)^(8)
A=1,573.29
Interest 1573.29-850=723.29
