Question on the maximum probability of CDF?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 5K views
holymackerel
Messages
5
Reaction score
0
Hi guys, i would like if people can tell what is the maximum probability value that a cumulative density function (cdf) can have?

i have been confused by the definition... however i have come to think that the maximum will be 1.. because all events can only be between 0 to 1 (100%) chance... however some told me that it could be infinite... can anyone clarifty it?
 
Physics news on Phys.org
The cdf does indeed top out at 1. A pdf, however, can have arbitrarily large values; it just has to integrate to 1. The same is not true of a probability mass function, which is again always less than or equal to 1.