A market research firm is interested in surveying certain attitudes in a smallcommunity. There are 125 households broken down according to income, ownership of a telephone orownership of a T.V.Household with monthlyincome of Rs. 8;000 or lessTelephone SubscriberHousehold with monthlyincome above Rs. 8,000Telephone Subscriber18 looNo TelephoneNo. TelephoneOwn T.V. set272010No. T.V. set18101210(i) What is the probability of obtaining of a T.V. owner in drawing at random ?(ii) If a household has monthly income over Rs. 8,000 and is a telephone subscriber, what is theprobability that it has a T.V. ?(iii) What is the condițional probability of drawing a household that owns a T.V., given that thehousehold is a telephone subscriber ?(iv) Are the events 'ownership of a T.V. and 'telephone subscriber statistically independent ?· Comment.

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Answered: A market research firm is interested in…

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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The University Secretary wants to determine how University grade point average,GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions. GPA HS A AS…
The following table is based on information from the U.S. Census Bureau regarding the type of health insurance coverage of people by age in the year 2006: Health Insurance Coverage Age <18 (A) 18-44 (B) 45-64 (C) >64 (D) Private (P) 353 545 382 185 Government (G) 202 115 105 315 None (N) 85 260 109 35 Find P(C or A)
The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions. GPA HS A…
The following table is based on information from the U.S. Census Bureau regarding the type of health insurance coverage of people by age in the year 2006: Health Insurance Coverage Age <18 (A) 18-44 (B) 45-64 (C) >64 (D) Private (P) 365 545 390 185 Government (G) 210 109 105 315 None (N) 85 260 100 35 Find P(B)
Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the following information about an annual number of murder and arson cases. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Murder 13 11 24 15 14 10 19 20 22 16 18 6 21 8 17 Arson 96 47 92 72 38 36 162 80 111 85 84 37 146 4 51 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson. (a) Rank-order murder using 1 as the largest data value. Also, rank-order arson using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. City MurderRank x ArsonRank y d = x - y d2 123456789101112131415 Σd2 = please show formula or steps explain your answer
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Consider any research statement and specify the variable, types of variables and population in that statement?
3. Calculate mean and median of the following. Income (Rs) 10-20 20-30 30-40 40-50 50-60 60–70 No. of workers: 15 20 20 10 5
The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions. GPA HS A AS…
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