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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

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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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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