Please answer this. Show work! ## Analyzing Symmetry in Binomial DistributionsConsider a binomial distribution with 15 trials. Look at a table showing binomial probabilities for various values of \( p \), the probability of success on a single trial. For what value of \( p \) is the distribution symmetric?### Options:- \( p = 0.10 \)- \( p = 0.05 \)- \( p = 0.50 \)- \( p = 0.85 \)- \( p = 0.01 \)### Explanation:For a binomial distribution to be symmetric, the probability of success \( p \) should be \( 0.50 \). This value means that the chances of success and failure are equal, leading to a balanced and symmetric probability distribution around the mean. **Graph Explanation:**If a graph or table illustrating binomial probabilities for various values of \( p \) and 15 trials were present:- When \( p = 0.50 \), the bar heights on the left and right sides of the mean (number of successes) would be mirror images of each other, indicating symmetry.- For values of \( p \) significantly different from 0.50, such as 0.10, 0.05, 0.85, or 0.01, the distribution would be skewed either to the left or right, resulting in an asymmetric shape.In conclusion, the distribution is symmetric for \( p = 0.50 \).

Answer consider the binomial distribution with 15 trials.

Consider a binomial distribution with 15 trials. Look at a table showing binomial probabilities for various values of p, the probability of success on a single trial. For what value of p is the distribution symmetric?

Consider a binomial distribution with 15 trials. Look at a table showing binomial probabilities for various values of p, the probability of success on a single trial. For what value of p is the distribution symmetric?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...

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