Asked by Elodie Charlorin on Jun 15, 2024
Verified
If the probability of success p remains constant in a binomial distribution,an increase in n will not change the mean.
Binomial Distribution
A probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials with the same probability of success.
Mean
The arithmetic average of a set of numbers, calculated by dividing the sum of these numbers by the count of the numbers in the set.
Probability Of Success
The likelihood of achieving a favorable outcome in a binomial setting or experiment.
- Absorb the key principles of binomial distribution and their relevance to real-life examples.
Verified Answer
MP
Michelle PontoJun 17, 2024
Final Answer :
False
Explanation :
In a binomial distribution, the mean is given by μ = n * p, where n is the number of trials and p is the probability of success. Therefore, if n increases while p remains constant, the mean μ will also increase.
Learning Objectives
- Absorb the key principles of binomial distribution and their relevance to real-life examples.