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 a) What is the probability density function for X for 0 ≤ x ≤ 1? f(x) = 3·x2 f(x) =  x2 3       f(x) = 3·x f(x) =  x4 4  f(x) = 3·x2 −  x4 4  b) What is the probability that X > 0.5?  c) What is the probability X < 0.5 ?

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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


a) What is the probability density function for X for 0 ≤ x ≤ 1?

f(x) = 3·x2
f(x) = 
x2
3
 
    
f(x) = 3·x
f(x) = 
x4
4
 
f(x) = 3·x2 − 
x4
4
 



b) What is the probability that X > 0.5? 

c) What is the probability X < 0.5 ? 

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