Consider a binomial distribution with n = 5 trials. Either use SALT, or use the probabilities given in the Binomial Probability Distribution table in the Appendix to make histograms showing the probabilities of r = 0, 1, 2, 3, 4, and 5 successes for each of the following. Comment on the skewness of each distribution. (a) The probability of success is p = 0.50. This distribution is skewed to the right.This distribution is uniform. This distribution is symmetric.This distribution is skewed to the left.This distribution is bimodal. (b) The probability of success is p = 0.25. This distribution is bimodal.This distribution is skewed to the left. This distribution is symmetric.This distribution is skewed to the right.This distribution is uniform. (c) The probability of success is p = 0.75. This distribution is uniform.This distribution is skewed to the left. This distribution is skewed to the right.This distribution is bimodal.This distribution is symmetric. (d) What is the relationship between the distributions shown in parts (b) and (c)? This distributions are identical.The distributions are mirror images of each other. The distributions are both skewed to the left.The distributions are both skewed to the right.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Consider a binomial distribution with n = 5 trials. Either use SALT, or use the probabilities given in the Binomial Probability Distribution table in the Appendix to make histograms showing the probabilities of r = 0, 1, 2, 3, 4, and 5 successes for each of the following. Comment on the skewness of each distribution.

(a) The probability of success is p = 0.50.

This distribution is skewed to the right.This distribution is uniform. This distribution is symmetric.This distribution is skewed to the left.This distribution is bimodal.

(b) The probability of success is p = 0.25.

This distribution is bimodal.This distribution is skewed to the left. This distribution is symmetric.This distribution is skewed to the right.This distribution is uniform.

This distribution is uniform.This distribution is skewed to the left. This distribution is skewed to the right.This distribution is bimodal.This distribution is symmetric.

(d) What is the relationship between the distributions shown in parts (b) and (c)?

This distributions are identical.The distributions are mirror images of each other. The distributions are both skewed to the left.The distributions are both skewed to the right.

(e) If the probability of success is p = 0.73, do you expect the distribution to be skewed to the right or to the left? Why?

Skewed to the left, since p < 0.50.Skewed to the right, since p > 0.50. Skewed to the left, since p > 0.50.Skewed to the right, since p < 0.50.

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