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The true class start time, X, after schedule , has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= x3  for 0 ≤ x ≤ 1 and F(x) = 1 for x > 1   d) What is the probability that X < 0 ?  e) What is the probability that X > 0.7?  f) What is the probability that X > 0.7 given that X > 0.5 ?

The true class start time, X, after schedule , has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= x3  for 0 ≤ x ≤ 1 and F(x) = 1 for x > 1   d) What is the probability that X < 0 ?  e) What is the probability that X > 0.7?  f) What is the probability that X > 0.7 given that X > 0.5 ?

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
Problem 1P
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The true class start time, X, after schedule , has the following cumulative distribution function F:
F(x) = 0 for x < 0 and F(x)= x3

 for 0 ≤ x ≤ 1 and F(x) = 1 for x > 1

 

d) What is the probability that X < 0 ? 

e) What is the probability that X > 0.7? 

f) What is the probability that X > 0.7 given that X > 0.5 ? 

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 0.1 below its expected value? 

 

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