Is anyone able to answer these questions for me for stats? thanks!

3. (12 points) Suppose that at Muddy's Convenience, the number of people waiting in line at 2pm on any given weekday has the following probability distribution. Let X be the number of people waiting in line. X 0 P(x) 0.60 0.20 0.10 0.05 0.05 Use 3 decimals in the calculations below. (a) [2] Calculate the expected value of X (that is the mean number of people waiting in line) (b) [2] Calculate the variance of X (c) [1] Calculate the standard deviation of X (d) [1] What is the probability that more than 2 people are waiting in line? (e) [1] What is the probability that more than 8 people are waiting in line? (f) [1] What is the probability that 2, 3 or 4 people are waiting in line? (g) [2] Suppose that the number of people waiting in line on Monday and on Tuesday at 2pm are independent of each other. What is the probability that on both days, there will be nobody waiting in line at 2pm? (h) [2] What is the probability that for a specific 5-day weekday period, on at least one of the 5 days there is someone waiting in line at 2pm? As in (g), assume the numbers waiting in line on each day are independent. Hint: the complement of "on at least 1 of the 5 days someone is waiting in line" is "on all 5 days, nobody is waiting in line". Write this out and then use independence