pages/4_Random Variables.py

import streamlit as st
st.title(":blue[Random Variable]")
st.image("https://cdn-uploads.huggingface.co/production/uploads/66bde9bf3c885d04498227a0/zIt7dl4zpigpQI4z4NRe0.webp",width=400)
st.subheader(":red[What is Random variable]")
multi = '''It is a function that assigns a numerical value to each possible outcome in a sample space, which is the set of all possible results of an experiment.

---> It represents a numerical outcome of a random experiment.

Function is block of code containing input ---> logic ---> output

**Input** - All the possible outcomes of random experiment (sample space)

**Output** - Real value ---> mapping to a sample space

---> Random variable can't be a string as it is always real value

X: S → R

where

X is Random Variable 

S is Sample Space

R is Set of Real Numbers

'''
st.markdown(multi)
st.image("https://cdn-uploads.huggingface.co/production/uploads/66bde9bf3c885d04498227a0/cNKo0r0OiweVLom3NVG6s.png",width = 300)
multi = '''**Example:**

Random Experiment - Rolling a dice twice

Trial - 1

Sample space - 36

Event - Likelihood of getting a even number out of all outcomes

Input - Sample space ---> 36 possible outcomes

logic - def f(x,y):
            return (x+y) % 2 == 0

output - all even numbers 

---> Probability(getting even numbers) = 18 / 36 ---> mapping to a sample space 

'''
st.markdown(multi)