Chick-fil-A has three drive-thru lanes. Depending on the day and time of day, they sometimes
close all or some of the lanes. Let the random variable X represent the number of lanes that
are open on a randomly selected time during the week. The table shows the probability
distribution of X.

Part (a): What is the probability that at least one lane is open at a randomly selected time?
Part (b): What is the expected value of number of open lanes at a randomly selected time?
Part (c): What is the probability that all three drive-thru lanes are open, given that at least one lane is open?
Part (d): Given that at least one drive-thru lane is open, would the expected value of the number of open lanes be less than, equal to, or greater than the expected value from part b?