Question 1

What are the four conditions for a binomial distribution?

Accepted Answer

A binomial experiment requires: (1) a fixed number of trials n, (2) each trial has only two mutually exclusive outcomes (success or failure), (3) the probability of success p remains constant, and (4) all trials are mutually independent.

Question 2

What is the difference between PMF and CDF in binomial distributions?

Accepted Answer

The Probability Mass Function (PMF) gives the exact probability of observing precisely k successes: P(X = k). The Cumulative Distribution Function (CDF) gives the probability of observing at most k successes: P(X ≤ k).

Question 3

When can a binomial distribution be approximated by a normal distribution?

Accepted Answer

A normal approximation is valid when both np ≥ 5 and n(1 - p) ≥ 5. When applying the continuous normal curve to discrete counts, a continuity correction of ±0.5 is applied.

Binomial Distribution Calculator

Frequently Asked Questions

Math · Related Calculators & Tools