In the interval [- 1 / 2,1 / 2], take a number x randomly, so that the probability of cos π X between 1 / 2 and √ 2 / 2 is 0 A 1/6 B 1/5 C 1/4 D 1/3

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• 1. Suppose that the random variables X and y are independent of each other and obey the uniform distribution on [- 1,1], the probability density of X and Y is obtained The random variables X and y are independent of each other and obey uniform distribution on [- 1,1]. The probability density of X and Y is calculated
• 2. Suppose that the random variables X and y are independent of each other and obey the uniform distribution on [0,1], the probability density of X + y is obtained
• 3. 1. Let the random variable x obey the uniform distribution on the interval (0,2), and try to find the probability density of the random variable y = x2. (X2 is the square of X, and the small 2 above cannot be found on Baidu.) 2、
• 4. Let X and y be independent random variables, and obey the uniform distribution on the interval (0,2), then the probability density of Z = x / y is obtained
• 5. Suppose that the random variable x obeys the uniform distribution on the interval [- 1,1], then the probability density of y = 2-x is obtained
• 6. Let the random variables X and y be independent and obey the uniform distribution on the interval [0, a], and then calculate the probability density of the random variable z = x / y
• 7. If the random variables X and y are independent of each other and obey the uniform distribution on the interval (0,1), then the following random variables obey the uniform distribution A.x & # 178; b.x + y, C. (x, y) d.x-y, please give me a process,
• 8. Probability theory: let the probability density of random variable X be f (x) = {A / X & # 178;, x > 10; 0, X
• 9. In probability theory, if the probability density f (x) of continuous random variable changes the value of finite points of F (x), f (x) is still the probability density. Why?
• 10. Probability theory and distribution function of mathematical statistics random variable First of all, the definition is as follows: FX (x) = P ({w belongs to R: X (W))
• 11. In the interval [- 1,1], take a random number x, the probability of cos π x2 between 0 and 12 is () A. 13B. 2πC. 12D. 23
• 12. If we take a random number x in the interval [- 1,1], then the probability that the value of cos π x is between 1 / 2 and 1 is 0
• 13. In the interval [- 1,1], take a random number x, the probability of cos π x2 between 0 and 12 is () A. 13B. 2πC. 12D. 23
• 14. In the interval [- 1,1], the probability that the value of a number x, cos Π X / 2 is between 0 and 1 / 2 is taken at random
• 15. In the interval [- 2,2], take a number x randomly, then the probability of x ^ 2 between 0 and 1 is zero
• 16. Given that a straight line passes (- 1,0) point, a straight line and a circle: (x-1) ^ 2 + y ^ 2 = 3 intersect at two points a and B, what is the probability of chord length AB > = 2?
• 17. No matter what the real number of a is, the circle x2 + y2-ax-a-1 = 0 passes a fixed point. What the coordinates of the fixed point are, it means that X2 is the square of X, and Y2 is the same
• 18. If the straight line ax + by = 1 and the circle x ^ + y ^ 2 = 1 intersect at two points a and B (where a and B are real numbers), and the angle between OA and ob is an acute angle (o is the coordinate origin), then the area enclosed by the trajectory of point P (a, b) is
• 19. It is known that the line ax-y = 1 intersects with the curve X square-2 * y square = 1 at two points P and Q. it is proved that there is no real number a such that the circle with PQ as the diameter crosses the origin
• 20. If the real numbers x and y satisfy (x ^ 2 + y ^ 2 + 1) (x ^ 2 + y ^ 2-4) = 0, find the value of x ^ 2 + y ^ 2