For a binominal distribution, mean is 6 and variance is 2 . The number of Bernouli trials is (A)

step 1 Hello students our question is for our binomial distribution mean is six and variance is two the

For a binominal distribution, mean is 6 and variance is 2 ....

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Binomial Distribution

A binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent trials, each with the same probability of success. It is essential for understanding events where there are two possible outcomes, such as success or failure.

Mean

In a binomial distribution, the mean represents the expected number of successes over all the trials and is calculated as the product of the number of trials (n) and the probability of success (p). This measure offers a central or average value around which outcomes are distributed.

Variance

The variance in a binomial distribution quantifies the spread or dispersion of the number of successes from the mean. It is determined using the formula n * p * (1 - p), incorporating both the probability of success and failure, which reflects the variability within the set of trials.

Bernoulli Trials

Bernoulli trials refer to experiments that have exactly two mutually exclusive outcomes, typically labeled as success and failure. These trials are fundamental to a binomial distribution, as the overall distribution results from the aggregation of multiple independent Bernoulli trials.

Transcript

Please give Ace some feedback