Binomial and Geometric Probability

Front

What is the Binomial Probability method used for?

Back

The Binomial Probability method is used to determine the probability of obtaining a certain number of successes in a fixed number of trials.

Front

What does the Geometric Probability model help to find?

Back

The Geometric Probability model helps to find the number of trials needed before the first success occurs.

Front

In a Binomial distribution, what are the two outcomes for each trial?

Back

The two outcomes are 'success' and 'failure'.

Front

What is the formula for Binomial Probability?

Back

P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.

Front

What is the expected number of trials in a Geometric distribution before the first success?

Back

The expected number of trials is 1/p, where p is the probability of success.

Front

If the probability of success is 0.13, what is the expected number of trials to get the first success?

Back

The expected number of trials is 1/0.13 ≈ 7.69.

Front

What is the probability of getting exactly k successes in n trials in a Binomial distribution?

Back

The probability is calculated using the Binomial Probability formula.

Front

What is the significance of the parameters n and p in Binomial distribution?

Back

n is the number of trials, and p is the probability of success on each trial.

Front

How do you calculate the probability of exactly 2 successes in 20 trials with a success probability of 0.11?

Back

Use the Binomial formula: P(X=2) = (20 choose 2) * (0.11)^2 * (0.89)^(20-2).

Front

What is the difference between Binomial and Geometric distributions?

Back

Binomial distribution deals with a fixed number of trials, while Geometric distribution focuses on the number of trials until the first success.