Define a random variable x = number of cups of coffee consumed on an average day. a. Develop a probability distribution for x. b. A person is randomly selected. What is the probability that the person consumes less than 3 cups of coffee per day? c. A person is randomly selected. What is the probability that the person consumes more than 2 cups of coffee per day?
Define a random variable x = number of cups of coffee consumed on an average day. a. Develop a probability distribution for x. b. A person is randomly selected. What is the probability that the person consumes less than 3 cups of coffee per day? c. A person is randomly selected. What is the probability that the person consumes more than 2 cups of coffee per day?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample
of 1014 adults aged 18 and over. One of the questions was, "How many cups of coffee, if any, do you
drink on an average day?" The following table shows the results obtained (Gallup website, August 6,
2012).
C.
Number of
Cups per Day
f.
722 TO
1
3
4
Number of
Reponses
365
264
193
91
101
}
Define a random variable x = number of cups of coffee consumed on an average day.
a. Develop a probability distribution for x.
b.
A person is randomly selected. What is the probability that the person consumes less than 3
cups of coffee per day?
A person is randomly selected. What is the probability that the person consumes more than 2
cups of coffee per day?
d. Develop a cumulative probability distribution for x.
e.
Compute the expected value of x. Show your work with a table similar to the one on page 62 of
the course packet or page 230 of the textbook. You can enter the numbers in Excel and use
Excel to construct a table.
S
Compute the variance and the standard deviation of x. Show your work with a table. Your
answer in parts e and f can be in one table.
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