Prove that E(X^2) greater equal to {E(X)}^2. Deduce that the first absolute moment about the main is скачать в хорошем качестве

Prove that E(X^2) greater equal to {E(X)}^2. Deduce that the first absolute moment about the main is

#mathatoz #mathematical_expectation #probabilitdistribution Gmail: rp17041978@gmail.com Rajkishor Patra (M.Sc Jadavpur University)    / mathatozrkpatra   Please subscribe me🙏. You can also follow me only for jee mathematics @JeeMathsatoz-RPSir Prove that E(X^2) greater equal to {E(X)}^2. Deduce that the first absolute moment about the main is at most equal to the standard deviation 100 litres of water are supposed to be polluted with 10^6 bacteria. Find the probability that a sample of 1cc of same water is free from bacteria.    • 100 litres of water are supposed to be pol...   If X is normal (0,1) find the distribution of e^X    • If X is normal (0,1) find the distribution...   A straight line is drawn through a fixed point (lambda,mu) making an angle X, which is chosen at random in the interval (0,π) , with the y-axis. Prove that the intercept on the y-axis has a Cauchy distribution with parameter (lambda,mu).👇    • A straight line is drawn through a fixed p...   The random variable X is distributed uniformly over the interval (0,2). Find the distribution function of the largest root of the quadratic equation t^2+2t-X=0.👇    • The random variable X is distributed unifo...   A point chosen at random in a interval divides into two subintervals. Find the probability that the length of the left sub interval that of the rights of interval is less than k.👇    • A point chosen at random in a interval div...   Three concentric circles of radii 1/√3,1and √3 feet are drawn on a target board. If a shot falls within the innermost circle 3 point are scored...👇    • Three concentric circles of radii 1/√3,1an...   A point is chosen random on a semicircle having centre at the origin and radius unity and projected on the diameter.👇    • A point is chosen random on a semicircle h...   A point P is chosen at random on a circle of radius a and A is a fixed Point on the circle. Show that the probability that the chord AP will exceed the length of the side of the an equilateral triangle inscribed in the circle is 1/3.    • A point P is chosen at random on a circle ...   A point X is chosen at random on a line segment AB who is middle point is O. Find the probability that AX,XB,AO con form the side of a triangle.👇    • A point X is chosen at random on a line se...   Problem on Probability distribution of one dimension from Calcutta University 2022 CC-11.    • The probability density function is f(x)= ...   Problem on basis laws and theory of Probability from Calcutta University 2022 CC-11.👇    • For any to event A and B ,P(A)=1/3,P(B)=1/...   Fourth lecture of All about Normal Distributon.👇    • Moment Generating function of normal distr...   Third lecture of All about normal distribution. 👇    • Median and mode of normal distribution.   Second lecture of All about normal distribution. 👇    • Mean and standard deviations of normal dis...   First lecture of All about normal distribution. 👇    • Normal Distribution   First lecture of addition law of probability.Link 👇    • Addition theorem of probability. Addition ...   Axiomatic defination of probability.Link 👇    • Axiomatic defination of probability. Deduc...   Fundamental theorem and Bayes's theorem proof .Link 👇    • Application of fundamental theorem of cond...   Transformation of continuous random variable from one to another.Link 👇    • PROBABILITY DISTRIBUTION (RANDOM VARIABLE ...