Intro to Actuarial Science : PDF to CDF conversion // survival function analysis

Here I go through changing a probability distribution function (pdf) into a cumulative distribution function (cdf). I try to give as much detail as possible and not assume any step. This way we should understand the method and why the 'formula' is what it is :D
A pdf is not an Adobe published file- It's a function such that the area underneath is 1, is continuous and always positive. These properties mean that integrating underneath it is equivalent to finding probabilities for a range of values.
To change to a cumulative here really speeds up future calculations of probabilities up to a given point- turning the process from calculus to substitution.
This conversion skill seems conceptually difficult for students so rematch as many times as you need and if you want more examples, I'm your guy 👍
#maths #algebra #probability #furthermaths #statistics

[@Walter_etn]

Thank you so much you've helped me alot as a actuarial science student 👏🏼

[@teaformulamaths]

You are so welcome! Let me know if you want any other topic or more of these 🙏

[@Walter_etn]

@@teaformulamaths maybe do some on probability distribution discrete and continuous

[@teaformulamaths]

@Eternal8828 Poisson, Binomial, Normal, Pereto, Geometric etc?

[@Walter_etn]

@@teaformulamaths yeah 👍🏼