The random variables (x, y) are uniformly distributed over the region D, where d = (0

The joint probability density of X and Y is f (x, y) = 1 / 2,0

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1. Let two-dimensional random variables (x, y) obey uniform distribution in region D, where D: 0
2. Let two-dimensional random variables (x, y) in the region D = {(x, y) x > = 0, Y > = 0, x + y
3. Let f (x) = K / (1 + x ^ 2), - 1 be the probability density function of random variables
4. 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,
5. 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
6. Let x ~ n (0,1) be a random variable, y = the x power of E, and find the probability density function of Y,
7. The probability density function p (x) = {1 / 2 cos (1 / 2) x, 0
8. 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
9. 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
10. Random variable x ~ n (2,0.1), then a. σ = 0.1, B. the image of probability density function is symmetric with respect to x = radical 2, C. μ = 2, D. φ (0) 2
11. Let the probability density function of random variable X be f (x) = {X / 2,0
12. 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
13. 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,
14. When x tends to 0, SiNx arctanx is used to find the limit
15. Using Taylor formula to find the limit of [cosxln (1 + x) - x] / x ^ 2 and [e ^ x-x (1 + x)] / (x ^ 2 * SiNx)
16. LIM (x tends to 0) ((e ^ x) * sinx-x (1 + x)) / x ^ 3 is solved by Taylor's theorem
17. When x → 0, Lim {lncos2x / lncos3x} = Lim {(lncos2x) '/ (lncos3x)'} = Lim {2tan2x / 3tan3x} The specific steps of (lncos2x) '= 2tan2x
18. lim(x→0)lncos2x/lncos3x Using equivalent infinitesimal to calculate
19. 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
20. 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