The Basic Practice of Statistics
7th Edition
ISBN: 9781464142536
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
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Question
Chapter 3.1, Problem 3.2AYK
a.
To determine
To explain: If the given curve satisfies the two requirements for a density curve.
b.
To determine
To find: The area under the density curve between 0 mile and 2 mile.
c.
To determine
What proportion of accidents happen on the bike path alongside the stream (i.e. between 0.7 miles and 1.5 mile)
d.
To determine
What proportion of accidents happens more than 1 mile from either road.
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Students have asked these similar questions
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).
Excel File: data05-23.xls
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0
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91
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c. Compute the variance of x.
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d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day.
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A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency.
Develop a probability distribution for the duration of a service call.
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x
f(x)
1
2
3
4
Which of the following probability distribution graphs accurately represents the data set?
Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)?
What is the probability a service call will take three hours?
A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed.
x
f(x)
for x = 1, 2, or 3
a. Consider the required conditions for a discrete probability function, shown below.
f(x) ≥0
Σf(x) = 1
(5.1)
(5.2)
Does this probability distribution satisfy equation (5.1)?
Select
Does this probability distribution satisfy equation (5.2)?
Select
b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)?
c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?
Chapter 3 Solutions
The Basic Practice of Statistics
Ch. 3.1 - Prob. 3.1AYKCh. 3.1 - Prob. 3.2AYKCh. 3.2 - Prob. 3.3AYKCh. 3.2 - Prob. 3.4AYKCh. 3.4 - Prob. 3.5AYKCh. 3.4 - Prob. 3.6AYKCh. 3.4 - Prob. 3.7AYKCh. 3.5 - Prob. 3.8AYKCh. 3.5 - Prob. 3.9AYKCh. 3.7 - Prob. 3.10AYK
Ch. 3.7 - Prob. 3.11AYKCh. 3.7 - Prob. 3.12AYKCh. 3.8 - Prob. 3.13AYKCh. 3.8 - Prob. 3.14AYKCh. 3 - Prob. 3.15CYSCh. 3 - Prob. 3.16CYSCh. 3 - Prob. 3.17CYSCh. 3 - Prob. 3.18CYSCh. 3 - Prob. 3.19CYSCh. 3 - Prob. 3.20CYSCh. 3 - Prob. 3.21CYSCh. 3 - Prob. 3.22CYSCh. 3 - Prob. 3.23CYSCh. 3 - Prob. 3.24CYSCh. 3 - Prob. 3.25ECh. 3 - Prob. 3.26ECh. 3 - Prob. 3.27ECh. 3 - Prob. 3.28ECh. 3 - Prob. 3.29ECh. 3 - Prob. 3.30ECh. 3 - Prob. 3.31ECh. 3 - Prob. 3.32ECh. 3 - Prob. 3.33ECh. 3 - Prob. 3.34ECh. 3 - Prob. 3.35ECh. 3 - Prob. 3.36ECh. 3 - Prob. 3.37ECh. 3 - Prob. 3.38ECh. 3 - Prob. 3.39ECh. 3 - Prob. 3.40ECh. 3 - Prob. 3.41ECh. 3 - Prob. 3.42ECh. 3 - Prob. 3.43ECh. 3 - Prob. 3.44ECh. 3 - Prob. 3.45ECh. 3 - Prob. 3.46ECh. 3 - Prob. 3.47ECh. 3 - Prob. 3.48ECh. 3 - Prob. 3.49ECh. 3 - Prob. 3.50ECh. 3 - Prob. 3.51ECh. 3 - Prob. 3.52ECh. 3 - Prob. 3.53ECh. 3 - Prob. 3.54E
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