MATLAB: Error when solving an equation involving a poisson pdf

equation solvingerror using symenginepoisson

Hello, I am trying to find for what values of lambda P(X=10) = 0.1, if X~Po(lambda)

My code is:

syms lambda

solve(poisspdf(10,lambda)==0.1, lambda)

the error I get is:

'error using symengine. Unable to prove 'lambda<0' literally . Use 'isAlways to test the statement mathematically

any help would be much appreciated!

Best Answer

Try this (instead of using the Symbolic Math Toolbox):

lambda = fzero(@(lambda) poisspdf(10, lambda) - 0.1, 5)

producing:

lambda =
     8.0299

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