2The random variable X follows a normal distribution with meanμand standard deviation4.5.In order to test the null hypothesis H:μ=15 against the alternative hypothesis H1:μ≠l5,nine observations of X are taken.The mean of this sample is a.Find an expression for the p-value in terms of...
A distribution where the logarithm of thevariablefollows anormaldistribution. Lognormaldistributions are used to describe returns calculated over periods of a year or more. Normal annuity form The manner in which retirement benefits are paid out. Normal backwardation theory Holds that the futures price...
The standard normal distribution is based on the standard normal variable follows a normal distribution with mean zero and standard normal distribution one. An excel function of the standard normal distribution, NORMDIST() is used to calculate the required probability....
Question: If the random variable z follows a standard normal distribution, find P(z < 1.48). Normal Distribution vs. Standard Normal Distribution Two distributions that students sometimes find confusing are the normal distribution and standard normal distribution. The standard norma...
Suppose the random variable Z follows the standard normal distribution, find P (Z less than 1.91). Given that z is a Standard Normal random variable, find the following probabilities: a. P(z less than 0.67). b. P(z greater than -0.22). c. P(-0.32 ...
结果1 题目 A random variable follows a continuous uniform distribution over 27 to 89. What is the probability of an outcome between 34 and 38() A. 0.0546. B. 0.0645. C. 0.0719. 相关知识点: 试题来源: 解析 B P(34≤X≤38)=(38-34)/(89-27)=0.0645. 反馈 收藏 ...
4. (a) Assume that the random variable y follows a normal distribution N(u, a +1). Assume a is 2 15 marks) (i) Write down your student number and variance o2 of this normal distribution; (ii) If the probability that the quadratic e...
This paper offers a novel approach to formulate efficient ratio estimator of the population variance using a transformed auxiliary variable. The impact of transformation on auxiliary information has also been discussed. It is observed that incorporating a transformed auxiliary variable result in a high ...
We still use normal distribution as prior distribution of latent variable. Step 1: Estimate \lambda of variational distribution by a neural network (encoder) For n-th sample, we have \lambda^{(n)} = NN(x^{(n)};\phi). To optimize \lambda for all samples, we have max_{\phi}\sum^...
In all cases, the null hypothesis that the provided data comes from a normal distribution with the mean and standard deviation as reported in the tables was not rejected at the 5% significance level. The typical p-values obtained from the test varies between 0.4 and 0.9. These figures ...