• We are pleased to announce that the winner of our Feedback Prize Draw for the Winter 2024-25 session and winning £150 of gift vouchers is Zhao Liang Tay. Congratulations to Zhao Liang. If you fancy winning £150 worth of gift vouchers (from a major UK store) for the Summer 2025 exam sitting for just a few minutes of your time throughout the session, please see our website at https://www.acted.co.uk/further-info.html?pat=feedback#feedback-prize for more information on how you can make sure your name is included in the draw at the end of the session.
  • Please be advised that the SP1, SP5 and SP7 X1 deadline is the 14th July and not the 17th June as first stated. Please accept out apologies for any confusion caused.

Computation Of probability function of two independent distributions

P

paryas.bhatia

Member
Can P(X=Y) be computed where X has an continuous distribution and Y has an discrete distribution? Please explain with the help of an example.
Also mention the conditions in which P(X=Y) can be found.

In an example where both X and Y are discrete distributions we just need to multiply and add up both the distributions? Please correct me if I am wrong.
 
The short answer is no, because the probability that a continuous variable is equal to a particular value is always zero.

What you can compute is the distribution function, ie \(P(X \leq k, Y \leq k) \).

When the distributions are both discrete and independent, yes, you can just add up the multiplied probabilities, taking care to get all the combinations right.
 
You must log in or register to reply here.
Back
Top