b) Let S be a continuous random variable representing the students' study time (in hours) fortheir Statistics final paper. The probability density function is given by:4s= {(² + + 7)15f(s) =i) Calculate the expected value of S.ii) Calculate the variance of S.iii) Determine E (1145 - 7S - 6S²).,1 ≤s≤4, otherwise

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Answered: i) Calculate the expected value of S.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S - 6S²).