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The average height for a student in a class with n = 60 students is a...

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Statistics

The average height for a student in a class with n = 60 studentsis a random variable with an average height of 180 cm and standarddeviation σ = 10. The individual heights which make up that averageare i.i.d. (1) use Chebyshev’s inequality to find an upper boundfor the probability that the average of the class (obtained fromthe individual student heights) is greater than 200cm. (2) UseChebyshev’s inequality to upper bound the probability that theaverage height of a given student is above 195 centimeters.Additionally, (3) Use the CLT to approximate the probability thatthe monthly average (found from the average of each individualstudent height) is greater than 200cm.

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Let X be the random variable which denotes average height of each student in a    See Answer
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