Let the random variable x obey the uniform distribution on (- 2,2), then the probability density function of the random variable y = x ^ 2 is
Fy(y)=P{Y≤y}=P{X^2≤y}
When y
RELATED INFORMATIONS
- 1. Suppose that the random variable x obeys the uniform distribution on a certain interval, and E (x) = 3, D (x) = 1 / 3, find the probability density function f (x) of X
- 2. As shown in the figure, the point P is a moving point on the circle, the chord AB = 3, PC is the bisector of ∠ APB, ∠ BAC = 30 °. Q: when ∠ PAC is equal to what degree, the quadrilateral PACB has the largest area? What is the maximum area?
- 3. As shown in the figure, P is the first point on the circle, and the chord AB = root 3. PC is the bisector of angle APB. The angle BAC = 30 degrees 1. When PAC =? Degree, what is the maximum area of quadrilateral PACB? 2. When the angle PAC =? Degree, the quadrilateral PACB is trapezoidal? Explain the reason
- 4. What is the chord length of a straight line passing through the origin with an inclination of π / 6 cut by the circle x ^ 2 + y ^ 2-4x = 0? What is the chord length of a straight line passing through the origin with an inclination of π / 6 cut by the circle x ^ 2 + y ^ 2-4x = 0? I have a poor foundation. The more detailed I am, the better. I'd better write down the concepts involved,
- 5. Find a point on the ellipse x 216 + y 212 = 1 and make it the minimum of the distance from the point to the line x-2y-12 = 0
- 6. As shown in Figure 4, cross a focal point (- 1,0) of the ellipse x ^ 2 + 2Y ^ 2 = 2 to make a straight line intersection ellipse a, two points o of B as the origin of the coordinates. Find the maximum area of the triangle AOB
- 7. Let the line y = x-3 and the ellipse x ^ 2 + 2Y ^ 2 = 8 intersect at two points a and B, and find the chord length | ab | and the area of triangle ABC
- 8. Given the ellipse x ^ 2 + 2Y ^ 2 = 4, what is the length of the chord with (1,1) as the midpoint?
- 9. Given the ellipse x ^ 2 + 2Y ^ 2 = 4, find the length of the chord with (1,1) as the midpoint
- 10. What is the midpoint coordinate of the chord cut by the ellipse x ^ 2 + 2Y ^ 2 = 4?
- 11. Let the random variable y be a uniform distribution on the interval (- π / 2, π / 2), and find the probability density function of y = x ^ 3
- 12. Let the random variable x obey the uniform distribution in the interval (1,2). Try to find the probability density of the random variable y = E2x (2x power of E)
- 13. Let the density function of random variable X be f (x) = 2x (0)
- 14. Let the random variable (x, y) obey g = {(x, y) | 0
- 15. Let the random variable X be uniformly distributed in the interval (1,2), and try to find the density function of y = e ^ 2x
- 16. Suppose that the random variable x obeys the uniform distribution on the interval of (0,1), then the density function of the random variable y = x & #
- 17. Two dimensional random variables (x, y) in the region D = {(x, y) | 0
- 18. It is known that the density function of continuous random variable x is f (x) = x, 0 Let's go over the subject again It is known that the density function of continuous random variable x is F (x) = x when 0
- 19. Let the density function of random variable X be f (x) = the - K ^ 2x ^ 2 power of CXE, x > = 0, 0, X
- 20. Let the joint density function of two-dimensional random variable (x, y) be f (x, y) = {1 / Π r square, x square + y square ≤ r square {0} Explain whether X and y are related, whether X and y are independent, and why