Asked by Shani Montes Victorio on May 31, 2024
Verified
If the probability of success p remains constant in a binomial distribution,an increase in n will increase the variance.
Binomial Distribution
A probability distribution that summarizes the likelihood of a variable to take one of two independent values under a given set of parameters.
Probability Of Success
The likelihood that a specified event or outcome will occur, often utilized in the context of trials or experiments.
Variance
A measure of the dispersion, indicating how far individual numbers in a set are from the mean.
- Learn the rudimentary aspects of binomial distribution and apply these theories to real-world circumstances.
Verified Answer
BG
Brianna GarceauJun 05, 2024
Final Answer :
True
Explanation :
This is true. The variance of a binomial distribution is equal to np(1-p), where n is the number of trials and p is the probability of success. As n increases, the variance of the distribution increases proportionally to n, which means that the distribution becomes more spread out.
Learning Objectives
- Learn the rudimentary aspects of binomial distribution and apply these theories to real-world circumstances.