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

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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b) Let S be a continuous random variable representing the students' study time (in hours) for
their Statistics final paper. The probability density function is given by:
4s
= {(² + + 7)
15
f(s) =
i) Calculate the expected value of S.
ii) Calculate the variance of S.
iii) Determine E (1145 - 7S - 6S²).
,1 ≤s≤4
, otherwise
Transcribed Image Text:b) Let S be a continuous random variable representing the students' study time (in hours) for their Statistics final paper. The probability density function is given by: 4s = {(² + + 7) 15 f(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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