The rating stress, X, of a Viking hammer, has the following cumulative distribution function F: F(x)...
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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)= x² for 0 ≤ x ≤ 4 and F(x): = 1 for x > 4 16 a) What is the probability density function for X for 0 ≤ x ≤ 4? O f(x) = 2.x ○ f(x) = x² O f(x) = x² 16 Of(x) = 2-x-8 Of(x) = 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? k) What is the probability that X is more than 0.2 below its expected value? The rating stress, X, of a Viking hammer, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= x² for 0 ≤ x ≤ 4 and F(x): = 1 for x > 4 16 a) What is the probability density function for X for 0 ≤ x ≤ 4? O f(x) = 2.x ○ f(x) = x² O f(x) = x² 16 Of(x) = 2-x-8 Of(x) = 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? k) What is the probability that X is more than 0.2 below its expected value?
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Lets go through each of these questions step by step 2 What is the probability density function for X for 0 x 4 In this range 0 x 4 the cumulative dis... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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