d) Find the cut-off for the top 30% of electricity usage in a 4 person household. e) What is the standard deviation of E? f) There are 15 households of 4 people in a subdivision. What is the expected amount of electricity used by these households for a month?

d) Find the cut-off for the top 30% of electricity usage in a 4 person household. e) What is the standard deviation of E? f) There are 15 households of 4 people in a subdivision. What is the expected amount of electricity used by these households for a month?

Name: Please don't switch the subject to Statistics/Probability or Advanced
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Description: Please don't switch the subject to Statistics/Probability or Advanced Math. For some reason whenever the subject is switched to those two. I don't receive any help it is a bug. please help me thank you. d) Find the cut-off for the top 30% of electric

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

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Question

Please don't switch the subject to Statistics/Probability or Advanced Math. For some reason whenever the subject is switched to those two. I don't receive any help it is a bug. please help me thank you.

d) Find the cut-off for the top 30% of electricity usage in a 4 person household.
e) What is the standard deviation of E?
f) There are 15 households of 4 people in a subdivision. What is the expected
amount of electricity used by these households for a month?

In Indiana the amount of electricity used by a household of 4 varies evenly
between 857 kWh and 945 kWh. Let E represent the amount of electricity used in a
4-person household in a month. Note: kWh stands for kilowatt hours and is the unit
of measurement for electricity used.

Expert Solution

Step 1

Given a Uniform distribution :

Lower limit = a = 857

Upper limit = b = 945

d) We need to find x such that

$P (X \geq x) = \frac{b - x}{b - a}$

The cutoff point for the top 30% will be calculated as :

$0.3 = \frac{945 - x}{945 - 857} x = 945 - 0.3 * 88 x = 918.6$

The cutoff point = 918.6

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