- #1

chessmath

- 20

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Hi

I have a question , the question asks find value of a and b such that F(x) is a valid cumulative distribution function?

1-a*exp(-x/b) x≥0

F(x)=

a*exp(x/b) x<0

My attempt to solve the problem:

I know F(x) when x goes to ∞ in 1 and when x goes to -∞ is 0. also I know F(x) should be right continuous and it is non-negative. However, non of them help me to find even one of the constants, any help will be appreciated ?

I have a question , the question asks find value of a and b such that F(x) is a valid cumulative distribution function?

1-a*exp(-x/b) x≥0

F(x)=

a*exp(x/b) x<0

My attempt to solve the problem:

I know F(x) when x goes to ∞ in 1 and when x goes to -∞ is 0. also I know F(x) should be right continuous and it is non-negative. However, non of them help me to find even one of the constants, any help will be appreciated ?

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