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Probability Density Function and Probability Mass Function
Probability distribution is a way of showing all the possible outcomes of an event (An event in probability is something that can happen when you do an experiment — for example, getting a head when you toss a coin) and how likely each outcome is to happen. In other words, a probability distribution is a list of all of the possible outcomes of a random variable along with their corresponding probability values.
Example: Suppose you toss a fair coin. The possible outcomes are: Head or Tail. The probability distribution would be:
- P(Head) = 0.5
- P(Tail) = 0.5
It shows all possible outcomes (Head, Tail) and how likely each one is (both 0.5 or 50%)
Why are Probability distributions important?
- It gives an idea about the shape/distribution of the data.
- And if our data follows a known distribution, then we automatically know a lot about the data.
Now, let’s know about Probability distribution Function.
Probability distribution Function is a mathematical function that describes the probability of obtaining different values of a random variable in a particular probability distribution. Probability distribution Function and Probability is used interchangeably.
Ex: Suppose you roll a fair six-sided die.
The random variable X represents the number you roll.
The Probability Distribution Function…
