2. A real estate agent is interested in the relationship between the number of lines in a newspaper advertisementfor an apartment and the volume of enquiries from potential renters. Let volume of enquiries be denoted bythe random variable X, with the value O for little interest, 1 for moderate interest and 2 for heavy interest. Thereal estate agent estimated the joint probability function shown in the accompanying table.Number ofNumber of Enquiries (X)Lines (Y)10.090.140.0740.070.230.160.030.100.11a. Find the joint cumulative probability function at X=1, Y=4 and interpret your result.b. Find and interpret the condition probability function for Y, given X=0.c. Find and interpret the condition probability function for X, given Y=5.d. Find and interpret the covariance between X and Y.e. Are number of lines in the advertisement and volume of enquiries independent of one another?

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2. A real estate agent is interested in the relationship between the number of lines in a newspaper advertisement for an apartment and the volume of enquiries from potential renters. Let volume of enquiries be denoted by the random variable X, with the value O for little interest, 1 for moderate interest and 2 for heavy interest. The real estate agent estimated the joint probability function shown in the accompanying table. Number of Lines (Y) Number of Enquiries (X) 2 3 0.09 0.14 0.07 4 0.07 0.23 0.16 5 0.03 0.10 0.11 a. Find the joint cumulative probability function at X= 1, Y=4 and interpret your result. b. Find and interpret the condition probability function for Y, given X=0. C. Find and interpret the condition probability function for X, given Y=5.

2. A real estate agent is interested in the relationship between the number of lines in a newspaper advertisement for an apartment and the volume of enquiries from potential renters. Let volume of enquiries be denoted by the random variable X, with the value O for little interest, 1 for moderate interest and 2 for heavy interest. The real estate agent estimated the joint probability function shown in the accompanying table. Number of Lines (Y) Number of Enquiries (X) 2 3 0.09 0.14 0.07 4 0.07 0.23 0.16 5 0.03 0.10 0.11 a. Find the joint cumulative probability function at X= 1, Y=4 and interpret your result. b. Find and interpret the condition probability function for Y, given X=0. C. Find and interpret the condition probability function for X, given Y=5.

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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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

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

2. A real estate agent is interested in the relationship between the number of lines in a newspaper advertisement
for an apartment and the volume of enquiries from potential renters. Let volume of enquiries be denoted by
the random variable X, with the value O for little interest, 1 for moderate interest and 2 for heavy interest. The
real estate agent estimated the joint probability function shown in the accompanying table.
Number of
Number of Enquiries (X)
Lines (Y)
1
0.09
0.14
0.07
4
0.07
0.23
0.16
0.03
0.10
0.11
a. Find the joint cumulative probability function at X=1, Y=4 and interpret your result.
b. Find and interpret the condition probability function for Y, given X=0.
c. Find and interpret the condition probability function for X, given Y=5.
d. Find and interpret the covariance between X and Y.
e. Are number of lines in the advertisement and volume of enquiries independent of one another?

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