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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 33E
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This question has part a, b, c, and d.

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
4
p(x)
0.13 0.18 0.38 0.27 0.03 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 u + 20.
Transcribed Image Text: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 4 p(x) 0.13 0.18 0.38 0.27 0.03 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 u + 20.
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