As can be easily verified by means of the formula for the binomial distribution, the probabilities of getting 0 , 1,2 , or 3 heads in 3 flips of a coin whose probability of heads is 0.4 are 0.216,0.432,0.288, and 0.064. Find the mean of this probability distribution using

(a) the formula that defines \(\mu\);

(b) the special formula for the mean of a binomial distribution.