5 points Bundersat11 5 3 007 My Notes Ask Your Consider a binomial distribution

Question

5 points Bundersat11 5 3 007 My Notes Ask Your Consider a binomial distribution with n 5 trials. Use the probabilities given in the Binomial Probability Distribution table in the Appendix to make histograms showing the probabilities of r-o, 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 O This distribution is bimodal. Tis distribution is skewed to the left. O This distribution is symmetric O This distribution is uniform O This distribution is skewed to the right (b) The probability of success is p 0.25. O This distribution is uniform. This distribution is binodal O This distribution is symmetric O This distribution is skewed to the left. O This distribution is skewed to the right. (c) The probablity of success is -0.75. O This distribution is skewed to the right O This distribution is symmetric. O This distribution is uniform. O This distribution is skewed to the left. This distribution is bimodal. (d) What is the relationship between the distributions shown in parts (b) and (c)? O The distributions are both skewed to the left.

Explanation / Answer

a. As p=0.5, distribution is symetric

Answer is The distribution is symmetric

b. Here p=0.25, which means it will have higher values before mean and low values after mean

Hence it is right skewed

Answer is The distribution is skewed to the right

c. Here p=0.75, which means it will have lower values before mean and higher values after mean

Hence it is left skewed

Answer is The distribution is skewed to the left

d. It will show image but in different directions, hence answer is

The distribution are mirror images of each other.

e. Skewed to the left as p>0.5

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