1. What is Probability Distribution?

A probability distribution describes how probabilities are distributed over the values of the random variable. It provides the probabilities of occurrence of different possible outcomes in an experiment.

2. How Does the Calculator Work?

The calculator computes probabilities based on the selected distribution type:

Where:

• \( P \) — Probability value (0-1)
• \( X \) — Random variable

Explanation: The calculator uses mathematical models of different probability distributions to compute results.

3. Importance of Probability Calculation

Details: Probability distributions are fundamental to statistical analysis, risk assessment, and predictive modeling in various fields.

4. Using the Calculator

Tips: Enter a probability value between 0 and 1, select the distribution type, and click calculate.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between discrete and continuous distributions?
A: Discrete distributions describe countable outcomes while continuous distributions describe uncountable outcomes.

Q2: What are common probability distributions?
A: Common ones include Normal, Binomial, Poisson, Exponential, and Uniform distributions.

Q3: What does a probability of 0.5 mean?
A: A 50% chance of the event occurring, or the event is equally likely to occur or not occur.

Q4: When should I use Normal vs Binomial distribution?
A: Normal for continuous data, Binomial for counts of binary outcomes with fixed trials.

Q5: What is the range of probability values?
A: All probabilities must be between 0 (impossible) and 1 (certain).