We are given the following probability distribution for x, the number of coffee breaks taken per day by coffee drinkers.
x 0 1 2 3 4 5
(x) 0.27 0.38 0.16 0.12 0.05 0.02
(a) Calculate the mean, μ, and variance, σ2, for the number of coffee breaks per day.
(b) What’s the probability that the number of coffee breaks falls within two standard deviations away from the mean, i.e., (μ − 2σ, μ + 2σ)?