The members of a private golf club have handicaps that are normally distributedwith mean 15 and standard deviation 3.5. In a particular event, foursomes are chosen by grouping four players chosen at random from the club. The handicap of thefoursome is the arithmetic average of the handicaps of the four players comprisingthe foursome. In what proportion of the foursomes will the handicap of the foursome be less than 10 or more than 20? (Hint: The standard deviation of the average of four independent identically distributed random variables is exactly half thestandard deviation of one of them.)
The members of a private golf club have handicaps that are normally distributedwith mean 15 and standard deviation 3.5. In a particular event, foursomes are chosen by grouping four players chosen at random from the club. The handicap of thefoursome is the arithmetic average of the handicaps of the four players comprisingthe foursome. In what proportion of the foursomes will the handicap of the foursome be less than 10 or more than 20? (Hint: The standard deviation of the average of four independent identically distributed random variables is exactly half thestandard deviation of one of them.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 53P: The annual demand for Prizdol, a prescription drug manufactured and marketed by the NuFeel Company,...
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The members of a private golf club have handicaps that are
with mean 15 and standard deviation 3.5. In a particular event, foursomes are chosen by grouping four players chosen at random from the club. The handicap of the
foursome is the arithmetic average of the handicaps of the four players comprising
the foursome. In what proportion of the foursomes will the handicap of the foursome be less than 10 or more than 20? (Hint: The standard deviation of the average of four independent identically distributed random variables is exactly half the
standard deviation of one of them.)
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