Chapters: Expected value & Variance of a continuous random variable **Q1.** If $ f(y) = \frac{2y}{k^2} $ for $ 0 \leq y \leq k $, for what value of $ k $ does $ \text{Var}(Y) = 2 $?**Q2.** Let $ f(y) = 3(1-y)^2 $ for $ 0 < y < 1 $. Find the variance of $ W $ where $ W = -5Y + 12 $.

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Answered: 2y Q1. If f (y) = for 0 < y

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2y Q1. If f (y) = for 0 < y

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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Question

Chapters: Expected value & Variance of a continuous random variable

**Q1.** If $ f(y) = \frac{2y}{k^2} $ for $ 0 \leq y \leq k $, for what value of $ k $ does $ \text{Var}(Y) = 2 $?

**Q2.** Let $ f(y) = 3(1-y)^2 $ for $ 0 < y < 1 $. Find the variance of $ W $ where $ W = -5Y + 12 $.

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