![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Let the probability density function of random variable X be f (x) = {X / 2,0
Two methods: FY (y) = P (Y & lt; = y) = P (2x + 3 & lt; = y) = P (X & lt; = (Y-3) / 2) = FX ((Y-3) / 2) & nbsp; & nbsp; & nbsp; FY (Y) = F & # 39; Y (y) = f ((Y-3) / 2) * 1 / 2 = {(Y-3) / 8,3 & lt; Y & lt; 7; 0, other 2. Y = 2x + 3 monotone and the inverse function is x = (Y-3) / 2, DX /
RELATED INFORMATIONS
- 1. The random variables (x, y) are uniformly distributed over the region D, where d = (0
- 2. Let two-dimensional random variables (x, y) obey uniform distribution in region D, where D: 0
- 3. Let two-dimensional random variables (x, y) in the region D = {(x, y) x > = 0, Y > = 0, x + y
- 4. Let f (x) = K / (1 + x ^ 2), - 1 be the probability density function of random variables
- 5. Let the random variable x obey the standard normal distribution n (0,1), and find the probability density of y = 2x ^ 2 + 1 and y = e ^ X,
- 6. Suppose that the random variables X and y are independent of each other and obey the normal distribution n (0, σ ^ 2), and calculate the probability density of Z = (x ^ 2 + y ^ 2) ^ 0.5
- 7. Let x ~ n (0,1) be a random variable, y = the x power of E, and find the probability density function of Y,
- 8. The probability density function p (x) = {1 / 2 cos (1 / 2) x, 0
- 9. Let the distribution function of random variable X be: (1) the value of coefficient a; (2) the probability density function of X Re & nbsp; Uploaded
- 10. The probability density of random variable x is f (x) = {A / radical (1-x ^ 2) | x | = 1 question, a =? Answer = 1 / π... How to calculate P{-1/2
- 11. Let the probability density of the random variable X be f (x) = e ^ - x, X ＞ 0,0, other, find the probability density function of y = e ^ X Ask for detailed explanation
- 12. Let the probability density of random variable (x, y) be f (x, y) = e ^ - (x + y), x > = 0, Y > = 0, and find the probability density function of Z = 1 / 2 (x + y) Using the distribution function to find the,
- 13. When x tends to 0, SiNx arctanx is used to find the limit
- 14. Using Taylor formula to find the limit of [cosxln (1 + x) - x] / x ^ 2 and [e ^ x-x (1 + x)] / (x ^ 2 * SiNx)
- 15. LIM (x tends to 0) ((e ^ x) * sinx-x (1 + x)) / x ^ 3 is solved by Taylor's theorem
- 16. When x → 0, Lim {lncos2x / lncos3x} = Lim {(lncos2x) '/ (lncos3x)'} = Lim {2tan2x / 3tan3x} The specific steps of (lncos2x) '= 2tan2x
- 17. lim(x→0)lncos2x/lncos3x Using equivalent infinitesimal to calculate
- 18. The pinch theorem is used to find the limit, Xn=(A1^n+A2^n+…… +AK ^ n) to the power of N, where a1 > A2 > >Ak>0
- 19. Using pinch theorem to find limit Find the limit of LIM (2x [3 / x], X tending to 0, where [x / 3] represents the integer function of 3 / X
- 20. The pinch theorem proves that the limit of a ^ n / N! Is zero Please prove that a ^ n / N! When n - > + ∞, the limit is zero