Question: Consider an experiment in which a sample of size n = 5 is taken from a binomial distribution.
a. Calculate the probability of each value of the random variable for the probability of a success equal to (1) 0.1, (2) 0.25, (3) 0.50, (4) 0.75, and (5) 0.9.
b. Which probabilities produced a right-skewed distribution? Why?
c. Which probability of a success yielded a symmetric distribution? Why?
d. Which probabilities produced a left-skewed distribution? Discuss why.