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
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Author:Amos Gilat
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
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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