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 certain newspaper, shows the probability distribution forx, the number of coffee breaks taken per day by coffee drinkers.

x 0 1 2 3 4 5

p(x) 0.13 0.17 0.37 0.27 0.05 0.01

(a) 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 thanthreecoffee breaks during the day?

(c)

Calculate the mean and standard deviation for the random variablex. (Round your standard deviation to three decimal places.)

meancoffee breaks ________

standard deviationcoffee breaks _______

(d)

Find the probability thatxfalls into the interval2.