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 for x, the number of coffee breaks taken per day by coffee drinkers. 1 2 3 5 p(x) 0.11 0.17 0.36 0.28 0.07 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 than three coffee breaks during the day? (c) Calculate the mean and standard deviation for the random variable x. (Round your standard deviation to three decimal places.) mean coffee breaks standard deviation coffee breaks (d) Find the probability that x falls into the interval μ ± 20.

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