The moment generating function of the continuous random variable X is given below: Which of the following is the second moment uz of the continuous random variable X with respect to the zero point? X sürekli raslantı değişkeninin moment çıkaran fonksiyonu aşağıda verilmiştir: 1 Mx(t)=: 1- 20t X sürekli raslantı değişkeninin sıfır noktasına göre ikinci momenti i, asağıdakilerden hangisidir? 20 - O A) 200 O B) 420 O C) 400 O D) 100 O E) 800

The moment generating function of the continuous random variable X is given below: Which of the following is the second moment uz of the continuous random variable X with respect to the zero point? X sürekli raslantı değişkeninin moment çıkaran fonksiyonu aşağıda verilmiştir: 1 Mx(t)=: 1- 20t X sürekli raslantı değişkeninin sıfır noktasına göre ikinci momenti i, asağıdakilerden hangisidir? 20 - O A) 200 O B) 420 O C) 400 O D) 100 O E) 800

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Show that two random variables X, and X, with joint pdf. Sx, x, (*1 »*2) = 16 Xl< 4, 2< X2<4 are independent and orthogonal.
Let Z be a random variable with E(Z) = 12 and Var(Z) = 5. Based on the statement above, determine which of the following statements are true and false. Show complete solution. a) E(3Z + 10) = 46 b) E(Z^2) = 160 c) Var(10)=10
a) Let X₁, X₂, X₁,...,X, be a random sample of size n from population X. Suppose that X-N(0, 1) and Y = -1-8√n. i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and variance of the random variable Y are 0 and 1, respectively. iii) Show using the moment generating function technique that Y is a standard normal random variable. iv) What is the probability that Y2 is between 0.02 and 5.02?
Two random variables X and Y have joint char- acteristic function l@,,m)=exp(-20,?-80;) (i) Show that X and Y are zero mean ran- dom variables.
X is a random variable such that X ~ B(n, p) where mean is 2 and 3 variance is . Find the probability of X is not less than 7. 2
Let X and Y be independent exponential random variables with parameters 2 and 3. (a) What is the probability that X + Y > 1. (b) Conditional on X + Y = 1, what is the distribution of X.
3 Find the moment of the random variable X in terms of its characteristic function Фx (@)
Let X, X2, ... , X, be i.i.d. standard normal random variables, i.e., with mean 0 and variance 1, and let Y, = X? for all i = 1, ... , n. Find the moment generating function of Y, to show that Y; ~ x²(1)
Let X₁, X₂,...,Xn be a random sample of size, n from a normal distribution with mean, € and variance, 5. a) b) c) Find the maximum likelihood estimator for 0. Is the estimator obtained in (a) unbiased? Show that the estimator obtained in (a) is a minimum variance unbiased estimator for the parameter, 0.