School Rank X Top Middle Low Salary Y ($ thousands) 80 120 160 15006 25010 23912 30012 35014 25010 60024 20008 10004

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 59E
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Consider the population of new graduates in 2020. There are N = 240,000 graduates,
and students are categorized based on their school rank X and the salary they earn at
graduation Y. The frequencies of each possible combination of X and Y are in the image attached.

1. What is the conditional probability of graduating from a top rank school given earning a salary of 80,000

2. Find the full conditional probability distribution of y given x

3.  Find the covariance of (X, Y), by letting x=1 for top ranked schools, x=2 for middle ranked schools, and x=3 for low ranked schools

School Rank X
Top
Middle
Low
Salary Y ($ thousands)
80
120 160
15006
25010 23912
30012 35014 25010
60024 20008 10004
Transcribed Image Text:School Rank X Top Middle Low Salary Y ($ thousands) 80 120 160 15006 25010 23912 30012 35014 25010 60024 20008 10004
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