1. 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 form a snapshot in usa today, shows the probability distribution for x, the number of daily coffee breaks taken per day by coffee drinkers. x: 0, 1, 2, 3, 4, 5p(x): .28, .37, .17, .12, .05, .01a. what is the probability that a randomly selected coffee drinker would take no coffee breaks during the day? b. what is the probability that a randomly selected coffee drinker would take more than two coffee breaks during the day? c. calculate the mean and standard deviation for the random variable x of the coffee drinkers. d. find the probability that x falls into the interval x±2σ.2. suppose that there are 25 people in a room, and you wonder what the probability is that at least two people in the room share the same birthday. explain how you could use slips of paper and a hat to approximate the probability. suppose you approximate the probability to be 57%. explain what this value means