A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:j Suppose that you collected data on hourly wage and the number of
Q1.
of schooling for 200 employees in Riverside. The data is summarized as follows: 40
employees have an income of $10 per hour and 3 years of schooling, 20 employees have
an income of $10 per hour and 4 years of schooling, 60 employees have an income of $ 16
per hour and 3 years of schooling, 80 employees have an income of $16 per hour and 4
years of schooling. Please use W for wage and S for years of schooling.
years
Please solve the following questions:
1. Find the join and marginal probabilities? (hint: you may use a table with wage (W) and
years of schooling (S).
2. Find the probability of W=10 given that the S=3?
3. Find the probability of S=4 given that W=16?
4. Find the mean or expected value of wage? Find the variance of wage?
5. Find the mean or expected value of years of schooling? Find the variance of years of
schooling?
6. Find the covariance between wage and years of schooling? Are they ( S and W)
independent?
7. Find the expected value (mean) of wage given that the S=3? Find the variance of wage
given that S=3?
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