4. The probability of a particular individual hitting the dart board in a particular throw is 0.8, independent of other throws. Z is the random variable representing the number of hits on target in 10 throws.
a. Calculate and plot the PMF of Z. b. Calculate and plot CDF of Z. (You may desire to manually adjust the plot per convention) c. Using CDF values, find the probability that 3 < z < 6 throws were on target. d. Find E[Z] and var[Z].