The following data has been collected on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months. Number of Times Number of Units (1,000s) Owner Occupied Renter Occupied 0 439 394 1 1,100 760 2 249 221 3 96 92 4 times or more 120 111 (a) Define a random variable x = number of times that owner-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let x = 4 represent 4 or more times. Round your answers to four decimal places.) x f(x) xf(x) x − μ (x − μ)2 (x − μ)2f(x) 0 1 2 3 4 (b) Compute the expected value and variance for x. (Round your answers to four decimal places.) expected valuevariance (c) Define a random variable y = number of times that renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let y = 4 represent 4 or more times. Round your answers to four decimal places.) y f(y) yf(y) y − μ (y − μ)2 (y − μ)2f(y) 0 1 2 3 4 (d) Compute the expected value and variance for y. (Round your answers to four decimal places.) expected valuevariance (e) What observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units? The expected number of times that owner-occupied units have a water supply stoppage lasting 6 or more hours in the past 3 months is ---Select--- less than grater than equal to the expected value for renter-occupied units. The variability for owner-occupied units is ---Select--- less than grater than equal to the variability for renter-occupied units.

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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Question

The following data has been collected on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months.

Number of Times	Number of Units (1,000s)
Owner Occupied	Renter Occupied
0	439	394
1	1,100	760
2	249	221
3	96	92
4 times or more	120	111

(a)

Define a random variable x = number of times that owner-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let

x = 4

represent 4 or more times. Round your answers to four decimal places.)

x	f(x)	xf(x)	x − μ	(x − μ)²	(x − μ)²f(x)
0
1
2
3
4

(b)

Compute the expected value and variance for x. (Round your answers to four decimal places.)

expected valuevariance

(c)

Define a random variable y = number of times that renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let

y = 4

represent 4 or more times. Round your answers to four decimal places.)

y	f(y)	yf(y)	y − μ	(y − μ)²	(y − μ)²f(y)
0
1
2
3
4

(d)

Compute the expected value and variance for y. (Round your answers to four decimal places.)

expected valuevariance

(e)

What observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units?

The expected number of times that owner-occupied units have a water supply stoppage lasting 6 or more hours in the past 3 months is ---Select--- less than grater than equal to the expected value for renter-occupied units. The variability for owner-occupied units is ---Select--- less than grater than equal to the variability for renter-occupied units.

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