3
$\begingroup$

How can I define a distribution and get the expectation in Mathematica for $a=a_H$ with probability $\lambda$ and $a=a_L$ with probability $1−\lambda$, where $\lambda\in(0,1)$?

$\endgroup$

2 Answers 2

9
$\begingroup$

There are many ways. Here's one:

dist = TransformedDistribution[x aH + (1 - x) aL, x \[Distributed] BernoulliDistribution[λ]]
Mean[dist]
(* aL+aH λ-aL λ *)
$\endgroup$
7
$\begingroup$

As JimB notes, there are many ways. Here's another:

dist = EmpiricalDistribution[{\[Lambda], 1 - \[Lambda]} -> {aH, aL}];
Mean[dist]
(* aL (1 - \[Lambda]) + aH \[Lambda] *)
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.