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The rating stress, X, of a Viking hammer, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= for 0 ≤ x ≤ 4 and F(x) = 1 for x > 4 a) what is the probability density function for X for 0 ≤ x ≤ 4? O f(x) = O f(x) = 2.x x² 16 Of(x) = 2x-8 ○ f(x) = O f(x) = b) What is the probability that X > 2.5? c) What is the probability X < 2.5?

The rating stress, X, of a Viking hammer, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= for 0 ≤ x ≤ 4 and F(x) = 1 for x > 4 a) what is the probability density function for X for 0 ≤ x ≤ 4? O f(x) = O f(x) = 2.x x² 16 Of(x) = 2x-8 ○ f(x) = O f(x) = b) What is the probability that X > 2.5? c) What is the probability X < 2.5?

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
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The rating stress, X, of a Viking hammer, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= for 0 ≤ x ≤ 4 and F(x) = 1 for x > 4 a) What is the probability density function for X for 0 < x ≤ 4? O f(x) = O f(x) = 2.x O f(x) = O f(x) = 2-x-8 ○ f(x) = 16 b) What is the probability that X > 2.5? c) What is the probability X < 2.5? d) What is the probability that X > 3 ? e) What is the probability that X > 3.5? f) What is the probability that X > 3.5 given that X > 3? g) Calculate the median of X. h) Calculate the expected value of X? i) Calculate the expected value of x²? j) Calculate the variance of X?
Transcribed Image Text:The rating stress, X, of a Viking hammer, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= for 0 ≤ x ≤ 4 and F(x) = 1 for x > 4 a) What is the probability density function for X for 0 < x ≤ 4? O f(x) = O f(x) = 2.x O f(x) = O f(x) = 2-x-8 ○ f(x) = 16 b) What is the probability that X > 2.5? c) What is the probability X < 2.5? d) What is the probability that X > 3 ? e) What is the probability that X > 3.5? f) What is the probability that X > 3.5 given that X > 3? g) Calculate the median of X. h) Calculate the expected value of X? i) Calculate the expected value of x²? j) Calculate the variance of X?
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