The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the formula Y = aX + C, where X and Y are independent normal random variables. Assume that C has a zero mean and unknown standard deviation σ. Some statistics of the samples are mean of x=15 s.d. of x=5 mean of y=35 s.d. of y=2 Assuming that the actual statistics of X and Y are equal to the statistics of the sample, calculate the parameters a and σ.

The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the formula Y = aX + C, where X and Y are independent normal random variables. Assume that C has a zero mean and unknown standard deviation σ. Some statistics of the samples are mean of x=15 s.d. of x=5 mean of y=35 s.d. of y=2 Assuming that the actual statistics of X and Y are equal to the statistics of the sample, calculate the parameters a and σ.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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