Let x ~ n (0,1) be a random variable, y = the x power of E, and find the probability density function of Y,

First find out the relationship between the distribution function, and then derive the relationship between the probability density

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1. The probability density function p (x) = {1 / 2 cos (1 / 2) x, 0
2. 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
3. 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
4. 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
5. Let x ~ n (0,1), find the probability density of y = 2x ^ 2 + 1 RT
6. Let the probability density of continuous random variable X be f (x) = {SiNx, 0 ≤ x ≤ a (previous line) 0, others (next line after braces). Try to determine the constant a and find P (x > π / 6)
7. Let x ~ n (0,1) be a random variable and find the probability density of y = x ^ 2
8. Let x ~ n (0,1), y = x & # 178;, find the probability density of Y
9. Let x ~ n (0.1) be a random variable and find the probability density of y = 4-x ^ 2
10. What is the minimum positive period of y = (SiNx cosx) ^ 2-1?
11. 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
12. 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,
13. Let f (x) = K / (1 + x ^ 2), - 1 be the probability density function of random variables
14. Let two-dimensional random variables (x, y) in the region D = {(x, y) x > = 0, Y > = 0, x + y
15. Let two-dimensional random variables (x, y) obey uniform distribution in region D, where D: 0
16. The random variables (x, y) are uniformly distributed over the region D, where d = (0
17. Let the probability density function of random variable X be f (x) = {X / 2,0
18. 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
19. 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,
20. When x tends to 0, SiNx arctanx is used to find the limit