How to calculate Φ(t) from Laplace table? Φ(1.5)=0.933 but Laplace(1.5)=0.43319. I'm confused!?

Question

Example:Φ(1.5)=0.933 but Laplace(1.5)=0.43319.
I want to calculate Φ from Laplace, how?

I got it now. Thanks everyone

Answer 1

I thought LaPlace transform/ characteristic function/ moment generating functions are useful for solving other equations/problem (other than what is it supposed to do).

e.g. when solving a complex problem and somewhere within the problem (or part of the problem) has a form similar or look like a Laplace/char/mom gen, you would apply the result of this form to help.

I have never thought of transforming say a mgf (mom gen function) to a characteristic function.

Answer 2

f(s) = L{F(t)} = integral (e^-st F(t) dt) over the range of 0 to infinity

Use what is given to solve for f(s), the Laplace of F(t)