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C1. A computer spam filter is 98% effective at sending spam emails to my junk folder, but will also incorrectly send 1% of legitimate emails to my junk folder. Suppose that 1 in 10 emails are spam. What proportion of emails in my junk folder are actually legitimate emails? Explain your solution fully. 62 Lot.. I ho o rondom varioblo

C1. A computer spam filter is 98% effective at sending spam emails to my junk folder, but will also incorrectly send 1% of legitimate emails to my junk folder. Suppose that 1 in 10 emails are spam. What proportion of emails in my junk folder are actually legitimate emails? Explain your solution fully. 62 Lot.. I ho o rondom varioblo

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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C1. A computer spam filter is 98% effective at sending spam emails to my junk folder, but will also incorrectly send 1% of legitimate emails to my junk folder. Suppose that 1 in 10 emails are spam. What proportion of emails in my junk folder are actually legitimate emails? Explain your solution fully. C2. Let X be a random variable. (a) Let Y (b) Using part (a), show that Var(aX) = a² Var(X). (c) Prove that Var(X + b) = Var(X). = aX be another random variable. What is EY, in terms of u = EX?
Transcribed Image Text:C1. A computer spam filter is 98% effective at sending spam emails to my junk folder, but will also incorrectly send 1% of legitimate emails to my junk folder. Suppose that 1 in 10 emails are spam. What proportion of emails in my junk folder are actually legitimate emails? Explain your solution fully. C2. Let X be a random variable. (a) Let Y (b) Using part (a), show that Var(aX) = a² Var(X). (c) Prove that Var(X + b) = Var(X). = aX be another random variable. What is EY, in terms of u = EX?
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C2. Let X be a random variable. (a) Let Y aX be another random variable. What is EY, in terms of μ = EX? (b) Using part (a), show that Var(aX) = a² Var(X). (c) Prove that Var(X + b) = Var(X). =
Transcribed Image Text:C2. Let X be a random variable. (a) Let Y aX be another random variable. What is EY, in terms of μ = EX? (b) Using part (a), show that Var(aX) = a² Var(X). (c) Prove that Var(X + b) = Var(X). =
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