Let x ~ n (0,1) be a random variable and find the probability density of y = x ^ 2

F(y)=P(Y

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1. Let x ~ n (0,1), y = x & # 178;, find the probability density of Y
2. Let x ~ n (0.1) be a random variable and find the probability density of y = 4-x ^ 2
3. What is the minimum positive period of y = (SiNx cosx) ^ 2-1?
4. The minimum positive period of y = (SiNx cosx) / (SiNx + cosx) Write the detailed steps, online, etc. thank you
5. Is SiNx = 1 symmetric about the origin? What about cosx = 1? Why?
6. If x is the minimum internal angle of a triangle, then the maximum value of the function y = SiNx + cosx + sinxcosx is () A. -1B. 2C. −12+2D. 12+2
7. Solution 3 (SiNx) ^ 2-sinxcosx-2 (cosx) ^ 2 = 1
8. The equation SiNx + cosx = a for X is known (1) If the equation has a real solution, find the value range of real number a (2) If the equation has two different real number solutions when x ∈ [0, π], find the value range of real number a and the sum of two real number solutions [- radical 2, + radical 2]; π / 2 The second problem I did was π Please write the detailed process and thinking
9. If the square of SiNx + cosx + k = 0 has a solution, then the value range of constant k is small
10. The image of the quadratic function y = 2 / 3x & # 178; is shown in the figure. The point A0 is at the origin of the coordinate, the points A1, A2, A3... A2010 are on the positive half axis of the Y axis, the points B1, B2, The image of the quadratic function y = 2 / 3x & # 178; is shown in the figure. The point A0 is at the origin of the coordinate, the points A1, A2, A3... A2014 are on the positive half axis of the y-axis, and the points B1, B2, B3,... B2014 are on the image of the quadratic function y = 2 / 3x & # 178; in the first quadrant, △ a0b1a1, △ a1b2a2, △ a2b3a3,... A2013b2014 are equilateral triangles, then the side length of △ a2013b2014 is equal=
11. 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)
12. Let x ~ n (0,1), find the probability density of y = 2x ^ 2 + 1 RT
13. 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
14. 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
15. 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
16. The probability density function p (x) = {1 / 2 cos (1 / 2) x, 0
17. Let x ~ n (0,1) be a random variable, y = the x power of E, and find the probability density function of Y,
18. 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
19. 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,
20. Let f (x) = K / (1 + x ^ 2), - 1 be the probability density function of random variables