In a telephone survey of 1000 adults, respondents were asked about the expenses on a management education and relative necessity of some form of financial assistance. The respondents were classified according to whether they currently had a child studying in a school of management and whether they thought that the loan burden for most management students is too high, right amount, or too little. The proportions responding in each category are given below: Too High(A) Right Amount(B) Too Little(C) Child Studying 0.35 0.08 0.01 management (D) No Child Studying 0.25 0.20 0.11 Management (E) Suppose one respondent is chosen at random from this group. Then (i) What is the probability that the respondent has a child studying management? (ii) Given that the respondent has a child studying management, what is the probability that he/she ranks the loan burden “too high”? (iii) Are the events D and A independent? Explain.

In a telephone survey of 1000 adults, respondents were asked about the expenses on a management education and relative necessity of some form of financial assistance. The respondents were classified according to whether they currently had a child studying in a school of management and whether they thought that the loan burden for most management students is too high, right amount, or too little. The proportions responding in each category are given below: Too High(A) Right Amount(B) Too Little(C) Child Studying 0.35 0.08 0.01 management (D) No Child Studying 0.25 0.20 0.11 Management (E) Suppose one respondent is chosen at random from this group. Then (i) What is the probability that the respondent has a child studying management? (ii) Given that the respondent has a child studying management, what is the probability that he/she ranks the loan burden “too high”? (iii) Are the events D and A independent? Explain.

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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