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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Question
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.
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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