Answered: The ____________ distribution is the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a)The sumation of the square of n randomly selected elements of a normal distribution follows a _______________________ distribution with n degrees of freedom

b)The ____________ distribution is the distribution with reference to the number of trials needed to obtain the first success

c)In the binomial distribution we fix the number of trials. In the negative binomial we fix the number of ___________

d)The ________ distribution is used to make inferences about the variances of two normal distributions

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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b) The ....... distribution is the distribution with reference to the number of trials needed to obtain the first success.

Geometric distribution has a fixed number of successes and it counts the number of trials needed to obtain the first success. Example: Flip a coin until you get a head or roll a die until you get a 6.

c) In the binomial distribution we fix the number of trials. In the negative binomial we fix the number of successes.

Binomial distribution counts the number of successes in a fixed number of trials, while Negative Binomial counts failures until a fixed number of successes.

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