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

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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
Transcribed Image Text: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
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