The random variable X and Y are both standard normal and are mutually independent. E(Max{|X|,|Y|}) скачать в хорошем качестве

The random variable X and Y are both standard normal and are mutually independent. E(Max{|X|,|Y|})

#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 The random variable X and Y are both standard normal and are mutually independent. Find the expectations of Max{|X|,|Y|} Reproductive Property of Normal Distribution.👇    • Reproductive Property of Normal Distributi...   Exercise solution of, Expectation -1(Probability and Statistics, A.Gupta) Prob-7.14.👇 X-normal variate, (mu)_(2k+2)=(sigma)^2(mu)_(2k)+(sigma)^3d(mu)_(2k)/d(sigma).    • If X is a normal variate then prove that (...   Show that first absolute moment about the mean for normal (m, sigma) distribution is √(2/π) sigma.    • Show that first absolute moment about the ...   X is a continuous random variable having spectrum ( -♾️ , ♾️) and distribution function F(x). Show that E(X)= integration 0 to ♾️ {1-F(x)-F(-x)}dx    • X is a continuous random variable having s...   Random variable X is normal (0, sigma), find the mean and variance of |X|.👇    • The random variable X is normal (0, sigma)...   Number of failures preceding the first success in an infinite sequence of bernoulli trial with probability of success p is (1-p)/p.(Geometric Distribution).👇    • Show that the expectation of the number of...   Given that the variate X is normal (0,1) find the variance of e^X.👇    • Given that the variate X is normal (0,1) f...   Compute the expectation of the function sinX. Also find the distribution of sinX.👇    • If X is uniformly distributed over (0,π/2)...   Calculate the expected values of the rectangle AP.PB and the difference |AP-PB|.👇    • A point is chosen at random on a line segm...   For the binomial (n , p) distribution prove that (mu)_(k+1)=p(1-p)(nk(mu)_(k-1)+d(mu)_k/dp)    • For the binomial (n , p) distribution prov...   For the poisson distribution with parameter mu, prove that (mu)k+1=mu(k(mu)k-1+d(mu)k/d(mu).    • For the poisson distribution with paramete...   The first, second and third moments of a probability distribution about the point 2 are 1,16,-40 respectively....👇    • The first, second and third moments of a p...   Prove that E(X^2) greater equal to {E(X)}^2. Deduce that the first absolute....👇    • Prove that E(X^2) greater equal to {E(X)}^...   Ex Sol (Probability and Statistics, A.Gupta) Prob:5.10.👇 100 litres of water are supposed to be polluted with 10^6 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..👇    • A straight line is drawn through a fixed p...   The random variable X is distributed uniformly over the interval (0,2). 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 ..👇    • 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..👇    • 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...👇    • 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..👇    • 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 ...   Fourth lecture of All about normal distribution. 👇    • 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 ...