distribution with mean, 0 and variance, ø and K1 ,K2 ,...,K17 having a chi-square distribution with 2 degrees of freedom. State the distribution and parameter(s) of the following variables. i. J = (X4 - X5) + 4(X2-X3) ii. Find the value m such that the random variable G = J/Mø will have a standard normal distribution where

distribution with mean, 0 and variance, ø and K1 ,K2 ,...,K17 having a chi-square distribution with 2 degrees of freedom. State the distribution and parameter(s) of the following variables. i. J = (X4 - X5) + 4(X2-X3) ii. Find the value m such that the random variable G = J/Mø will have a standard normal distribution where

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 3CR

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Question

Let X1 ,X2 ,...,X34 having a normal distribution with mean, 0 and variance, ø and K1 ,K2 ,...,K17 having a chi-square distribution with 2 degrees of freedom. State the distribution and parameter(s) of the following variables.

i. J = (X4 - X5) + 4(X2-X3)

ii. Find the value m such that the random variable G = J/Mø will have a standard normal distribution where
J is defined in part (i).

iii. S= (17 E i=1) Ki

iv. R= 34G^2/S

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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