Suppose that at any sitting of ECON 201, 30% of the students are first year; 35% are second year; 20% are final year and 15% are qualifying to enter various programs (assume mutually exclusive). From records of the Statistics department, it was found that 20% of the first-year students get A; 30% of the second-year students get A; 35% of the final year students get A; 25% of the qualifying students get A. What is the probability a randomly chosen student will get an A? Given that a student got an A, what is the probability the student was first year? Second year? Third year? Qualifying?

Suppose that at any sitting of ECON 201, 30% of the students are first year; 35% are second year; 20% are final year and 15% are qualifying to enter various programs (assume mutually exclusive). From records of the Statistics department, it was found that 20% of the first-year students get A; 30% of the second-year students get A; 35% of the final year students get A; 25% of the qualifying students get A. What is the probability a randomly chosen student will get an A? Given that a student got an A, what is the probability the student was first year? Second year? Third year? Qualifying?

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Suppose that at any sitting of ECON 201, 30% of the students are first year; 35% are second year; 20% are final year and 15% are qualifying to enter various programs (assume mutually exclusive). From records of the Statistics department, it was found that 20% of the first-year students get A; 30% of the second-year students get A; 35% of the final year students get A; 25% of the qualifying students get A. What is the probability a randomly chosen student will get an A? Given that a student got an A, what is the probability the student was first year? Second year? Third year? Qualifying?

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