(a) construct a binomial probability distribution with the given parameters (b) compute the means and standard deviation of the random variable using the methods of section 6.1 (c) compute the means and standard deviation of the random variable using the methods in this section (d) draw the probability histogram, comment on its shape, and label the mean on the histogram Parameters are n=8, p=0.5 Solution 1. The given distribution is a binomial distribution with p=0.5 n=8, q=0.5, mean =4, variance =2 for a binomial distribution mean =np = 4 variance= npq=2 standard deviation =sqrt(2).