The binomial probability distribution is a family of probability distributions with each single distribution depending on the values of n and p. Assume that x is a binomial random variable with n = 10.

a. Determine a value of p such that the probability distribution of x is symmetric.

b. Determine a value of p such that the probability distribution of x is skewed to the right.

c. Determine a value of p such that the probability distribution of x is skewed to the left.

d. Graph each of the binomial distributions you obtained in parts

a, b, and

c. Locate the mean for each distribution on its graph.

e. In general, for what values of p will a binomial distribution be symmetric? skewed to the right? skewed to the left?