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Below are Earned Run Averages for the indicated Leagues. LEAGUE 2016 A.L. 2022 A.L. Mean of Earned Run Averages of Starting Pitchers Standard Deviation of Earned Run Averages of Starting Pitchers 5.21 .73 Sebastian: 1.02 Assume that all distributions are normal. 4.65 .41 Caruthers: 1.48 Mungo: 2078 N.L. 6.95 .82 1.61 it in

Below are Earned Run Averages for the indicated Leagues. LEAGUE 2016 A.L. 2022 A.L. Mean of Earned Run Averages of Starting Pitchers Standard Deviation of Earned Run Averages of Starting Pitchers 5.21 .73 Sebastian: 1.02 Assume that all distributions are normal. 4.65 .41 Caruthers: 1.48 Mungo: 2078 N.L. 6.95 .82 1.61 it in

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Below are Earned Run Averages for the indicated Leagues. LEAGUE 2016 A.L. 2022 A.L. Mean of Earned Run Averages of Starting Pitchers Standard Deviation of Earned Run Averages of Starting Pitchers 5.21 .73 Sebastian: 1.02 4.65 .41 Caruthers: 1.48 2078 N.L. 6.95 .82 Mungo: 1.61 (F) p. 3 Assume that all distributions are normal. Note: the lower an Earned Run Average is, the better (more impressive) it is. (a) Rank Sebastian, Caruthers, and Mungo in impressiveness relative to their respective Leagues. (b) What would Mungo's Earned Run Average have to have been in 2078 for his performance to have been exactly as impressive as was Caruthers' in 2022? (c) What would a pitcher's Earned Run Average have to have been in 2022 to have been in the lowest 9% of Earned Run Averages?
Transcribed Image Text:Below are Earned Run Averages for the indicated Leagues. LEAGUE 2016 A.L. 2022 A.L. Mean of Earned Run Averages of Starting Pitchers Standard Deviation of Earned Run Averages of Starting Pitchers 5.21 .73 Sebastian: 1.02 4.65 .41 Caruthers: 1.48 2078 N.L. 6.95 .82 Mungo: 1.61 (F) p. 3 Assume that all distributions are normal. Note: the lower an Earned Run Average is, the better (more impressive) it is. (a) Rank Sebastian, Caruthers, and Mungo in impressiveness relative to their respective Leagues. (b) What would Mungo's Earned Run Average have to have been in 2078 for his performance to have been exactly as impressive as was Caruthers' in 2022? (c) What would a pitcher's Earned Run Average have to have been in 2022 to have been in the lowest 9% of Earned Run Averages?
In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is a K, then the player wins $100; then the player wins $35; an A, Q, an 8, 7, J, then the player wins $15; anything else, then the player loses. It costs $16 to play (for each play). Now, Melvin plays the game 1000 times, Rufus plays the game 50,000 times. Find the probability that (a) Melvin makes $100 or more. (b) Rufus makes $35,000 or more.
Transcribed Image Text:In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is a K, then the player wins $100; then the player wins $35; an A, Q, an 8, 7, J, then the player wins $15; anything else, then the player loses. It costs $16 to play (for each play). Now, Melvin plays the game 1000 times, Rufus plays the game 50,000 times. Find the probability that (a) Melvin makes $100 or more. (b) Rufus makes $35,000 or more.
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