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a. Calculate the variance and standard deviation of the random variable. 6, = (Round to two decimal places as needed.) b) Let y = x+2. Calculate the variance and standard deviation of the random variable y. oy (Round to two decimal places as needed.) c) Let z= 2x. Calculate the variance and standard deviation of the random variable z. (Round to two decimal places as needed.) d. From your calculations in part a and part b, indicate the effect that adding a constant to a random variable has on its variance and standard deviation. OA. Adding a constant, c, decreases its variance by a multiple of c and decreases its standard deviation by a multiple of c. O B. Adding a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c O C. Adding a constant, c, to a random variable has no effect on its variance and standard deviation.

a. Calculate the variance and standard deviation of the random variable. 6, = (Round to two decimal places as needed.) b) Let y = x+2. Calculate the variance and standard deviation of the random variable y. oy (Round to two decimal places as needed.) c) Let z= 2x. Calculate the variance and standard deviation of the random variable z. (Round to two decimal places as needed.) d. From your calculations in part a and part b, indicate the effect that adding a constant to a random variable has on its variance and standard deviation. OA. Adding a constant, c, decreases its variance by a multiple of c and decreases its standard deviation by a multiple of c. O B. Adding a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c O C. Adding a constant, c, to a random variable has no effect on its variance and standard deviation.

MATLAB: An Introduction with Applications
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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Consider the discrete probability distribution shown to the right, and complete parts a through e below. a. Calculate the variance and standard deviation of the random variable. (Round to two decimal places as needed.) b) Let y = x +2. Calculate the variance and standard deviation of the random variable y. %3D (Round to two decimal places as needed.) c) Let z = 2x. Calculate the variance and standard deviation of the random variable z. %3D (Round to two decimal places as needed.) d. From your calculations in part a and part b, indicate the effect that adding a constant to a random variable has on its variance and standard deviation. O A. Adding a constant, c, decreases its variance by a multiple of c and decreases its standard deviation by a multiple of c O B. Adding a constant, c, increases its variance by a multiple ofc and increases its standard deviation by a multiple of cf O C. Adding a constant, c, to a random variable has no effect on its variance and standard deviation. O D. Adding a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c. e. From your calculations in part a and part c, indicate the effect that multiplying a random variable with a constant has on the variance and the standard deviation of the random variable. O A. Multiplying a random variable with a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c O B. Multiplying a random variable with a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c. O C. Multiplying a random variable with a constant, c, decreases its variance by a multiple of c and decreases its standard deviation by a multiple of c. O D. Multiplying a random variable with a constant, c, has no effect on its variance and standard deviation.
Transcribed Image Text:Consider the discrete probability distribution shown to the right, and complete parts a through e below. a. Calculate the variance and standard deviation of the random variable. (Round to two decimal places as needed.) b) Let y = x +2. Calculate the variance and standard deviation of the random variable y. %3D (Round to two decimal places as needed.) c) Let z = 2x. Calculate the variance and standard deviation of the random variable z. %3D (Round to two decimal places as needed.) d. From your calculations in part a and part b, indicate the effect that adding a constant to a random variable has on its variance and standard deviation. O A. Adding a constant, c, decreases its variance by a multiple of c and decreases its standard deviation by a multiple of c O B. Adding a constant, c, increases its variance by a multiple ofc and increases its standard deviation by a multiple of cf O C. Adding a constant, c, to a random variable has no effect on its variance and standard deviation. O D. Adding a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c. e. From your calculations in part a and part c, indicate the effect that multiplying a random variable with a constant has on the variance and the standard deviation of the random variable. O A. Multiplying a random variable with a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c O B. Multiplying a random variable with a constant, c, increases its variance by a multiple of c and increases its standard deviation by a multiple of c. O C. Multiplying a random variable with a constant, c, decreases its variance by a multiple of c and decreases its standard deviation by a multiple of c. O D. Multiplying a random variable with a constant, c, has no effect on its variance and standard deviation.
3 11 27 P(x) 0.15 0.35 0.50
Transcribed Image Text:3 11 27 P(x) 0.15 0.35 0.50
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