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3. I examined 100 values from a uniform distribution between 0 and b and recorded the maximum. The first 20 times I did this, the maximum values were: 993.13 982.18 999.85 992.97 998.63 997.41 995.97 995.05 999.57 990.84 998.10 988.02 991.30 999.50 980.75 979.17 999.64 998.53 984.86 996.83 a) Use the method of moments to determine the values of a and ẞ for the GEV distribution? b) Using these values, what.is the probability the next maximum exceeds 999? c) What is the maximum possible value b implied from the GEV distribution?

3. I examined 100 values from a uniform distribution between 0 and b and recorded the maximum. The first 20 times I did this, the maximum values were: 993.13 982.18 999.85 992.97 998.63 997.41 995.97 995.05 999.57 990.84 998.10 988.02 991.30 999.50 980.75 979.17 999.64 998.53 984.86 996.83 a) Use the method of moments to determine the values of a and ẞ for the GEV distribution? b) Using these values, what.is the probability the next maximum exceeds 999? c) What is the maximum possible value b implied from the GEV distribution?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. I examined 100 values from a uniform distribution between 0 and b and recorded the maximum. The first 20 times I did this, the maximum values were: 993.13 982.18 999.85 992.97 998.63 997.41 995.97 995.05 999.57 990.84 998.10 988.02 991.30 999.50 980.75 979.17 999.64 998.53 984.86 996.83 a) Use the method of moments to determine the values of a and ẞ for the GEV distribution? b) Using these values, what.is the probability the next maximum exceeds 999? c) What is the maximum possible value b implied from the GEV distribution?
Transcribed Image Text:3. I examined 100 values from a uniform distribution between 0 and b and recorded the maximum. The first 20 times I did this, the maximum values were: 993.13 982.18 999.85 992.97 998.63 997.41 995.97 995.05 999.57 990.84 998.10 988.02 991.30 999.50 980.75 979.17 999.64 998.53 984.86 996.83 a) Use the method of moments to determine the values of a and ẞ for the GEV distribution? b) Using these values, what.is the probability the next maximum exceeds 999? c) What is the maximum possible value b implied from the GEV distribution?
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