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Error when solving an equation involving a poisson pdf

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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!

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Accepted Answer

Star Strider
Star Strider on 17 Nov 2019
Try this (instead of using the Symbolic Math Toolbox):
lambda = fzero(@(lambda) poisspdf(10, lambda) - 0.1, 5)
producing:
lambda =
8.0299

  3 Comments

Louis Sharma
Louis Sharma on 18 Nov 2019
Thanks this is great! By looking at my plot, I see that there are 2 solutions to this equation (I selected lambda=0:1:20). Any idea how I could get the second solution?
Thank you so much!
Louis Sharma
Louis Sharma on 18 Nov 2019
actually I was able to ge the second solution by changing the range. Thanks
Star Strider
Star Strider on 18 Nov 2019
As always, my pleasure!
(I was sleeping, not ignoring you!)

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