Assume Albertan annual income measured in hundred dollars follows a Chi-Square distribution with 100 degrees of freedom (A~x2100A~x1002). Assume Ontarian annual income measured in $10000 follows an F distribution with 100 degrees of freedom numerator and 125 degrees of freedom in the denominator (O~F100,1250~F100,125). Assume Quebecer annual income measured in $5000 follows an F distribution with 1 degrees of freedom numerator and 125 degrees of freedom in the denominator (Q~F1,125Q~F1,125) a. If you randomly select an individual from Alberta and another from Ontario which one would you expect to have a higher income in $? Justify. b. Solve for the probability the Albertan has an income of at least $8236. Solve for the probability the Ontarian has an income of at most $12956. c. Solve for the income level in $ the Ontarian would need in order to be in the 99.5thth percentile d. Solve for the income range in $ the Quebecer would need to be in the middle 60% of the income distribution
Assume Albertan annual income measured in hundred dollars follows a Chi-Square distribution with 100 degrees of freedom (A~x2100A~x1002). Assume Ontarian annual income measured in $10000 follows an F distribution with 100 degrees of freedom numerator and 125 degrees of freedom in the denominator (O~F100,1250~F100,125). Assume Quebecer annual income measured in $5000 follows an F distribution with 1 degrees of freedom numerator and 125 degrees of freedom in the denominator (Q~F1,125Q~F1,125) a. If you randomly select an individual from Alberta and another from Ontario which one would you expect to have a higher income in $? Justify. b. Solve for the probability the Albertan has an income of at least $8236. Solve for the probability the Ontarian has an income of at most $12956. c. Solve for the income level in $ the Ontarian would need in order to be in the 99.5thth percentile d. Solve for the income range in $ the Quebecer would need to be in the middle 60% of the income distribution
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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