Q-2: Most coffee drinkers take a little time each day for their favorite beverage, and many take more than one coffee break every day. The table below, adapted from a Snapshot in USA Today, shows the...

Q-2: Most coffee drinkers take a little time each day for their favorite beverage, and many take more than one coffee break every day. The table below, adapted from a Snapshot in USA Today, shows the probability distribution for x, the number of daily coffee breaks taken per day by coffee drinkers. (3 marks)
X 0 1 2 3 4 5
x. P(X) 0.28 0.37 0.17 0.12 0.05 0.01

a) What is the probability that a randomly selected coffee drinker would take more than two coffee breaks during the day?
b) Calculate the mean and standard deviation for the random variable x.