Question

Using axioms of probability prove that probability distribution of a discrete random variable must sum to 1

Answer 1

can you please verify the meaning of discrete

Answer 2

Concept introduction:

Probability is chance of occurrence of an event out of total number of possibilities.

Explanation:

Given that, probability distribution of a discrete random variable must sum to $1$.

We have to find, axioms of probability to prove that probability distribution of a discrete random variable must sum to $1$.

According to the question,

Two requirements must be met for the probabilities in a random variable's probability distribution: Each probability P(x) must lie within the range of $0$ and $1$:$0\leq P(x)\geq 1.$ $P(x)=1$means that the total number of probability is $1$.

Final Answer:

Chance of occurrence of an event can not be greater than $100$% hence maximum probability or total of all probability is $1$.

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