Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
1. M
2. F
3. J
4. D
6. ∠FGH, ∠HGF, ∠G, Right ∠
7. ∠BCD, ∠DCB, ∠D, Acute ∠
I suppose the density is supposed to be

(since
diverges as
, and 0 is conveniently left out of the domain)
For this to be a proper density function, it must be positive (it is) and its integral over the support
must evaluate to 1. We have

which means
.
The distribution function is obtained by integrating the density:

The probability that the component exceeds 2 years in its lifetime is
