Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 2, Problem 2.78SE
To determine
Find the correct standard deviation value to the nearest hundredth.
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Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Chapter 2 Solutions
Introduction to Probability and Statistics
Ch. 2.2 - You are given n=5 measurements: 0, 5, 1, 1,3. Draw...Ch. 2.2 - Prob. 2.2ECh. 2.2 - Prob. 2.3ECh. 2.2 - Auto Insurance The cost of automobile insurance...Ch. 2.2 - Prob. 2.5ECh. 2.2 - Prob. 2.6ECh. 2.2 - Prob. 2.7ECh. 2.2 - Prob. 2.8ECh. 2.2 - Prob. 2.9ECh. 2.2 - Prob. 2.10E
Ch. 2.2 - Prob. 2.11ECh. 2.2 - Prob. 2.12ECh. 2.3 - You are given n=5 measurements: 2, 1, 1,3,5. a....Ch. 2.3 - Prob. 2.14ECh. 2.3 - Prob. 2.15ECh. 2.3 - Prob. 2.16ECh. 2.3 - Prob. 2.17ECh. 2.3 - Utility Bills in Southern CaliforniaThe monthly...Ch. 2.5 - Prob. 2.19ECh. 2.5 - Prob. 2.20ECh. 2.5 - A distribution of measurements is relatively...Ch. 2.5 - Prob. 2.22ECh. 2.5 - Prob. 2.23ECh. 2.5 - Packaging Hamburger Meat The data listed here are...Ch. 2.5 - Breathing Rates Is your breathing rate normal?...Ch. 2.5 - Prob. 2.26ECh. 2.5 - Social Security Numbers A group of70 students were...Ch. 2.5 - Prob. 2.28ECh. 2.5 - Prob. 2.29ECh. 2.5 - Prob. 2.30ECh. 2.5 - Timber Tracts To estimate the amount of lumber in...Ch. 2.5 - Prob. 2.32ECh. 2.5 - Prob. 2.33ECh. 2.5 - Prob. 2.34ECh. 2.5 - Prob. 2.35ECh. 2.5 - Prob. 2.36ECh. 2.5 - Prob. 2.37ECh. 2.5 - Prob. 2.38ECh. 2.5 - Prob. 2.39ECh. 2.7 - Prob. 2.40ECh. 2.7 - Find the five-number summary and the IQR forthese...Ch. 2.7 - Given the following data set: 2.3, 1.0, 2.1, 6.5,...Ch. 2.7 - Given the following data set: .23, .30, .35, .41,...Ch. 2.7 - Construct a box plot for these data and...Ch. 2.7 - Construct a box plot for these data and...Ch. 2.7 - If you scored at the 69th percentile on a...Ch. 2.7 - Mercury Concentration in DolphinsEnvironmental...Ch. 2.7 - Hamburger Meat The weights (in pounds) of the 27...Ch. 2.7 - Comparing NFL Quarterbacks How does Aaron Rodgers,...Ch. 2.7 - Presidential Vetoes The set of presidential vetoes...Ch. 2.7 - Survival Times Altman and Bland report the...Ch. 2.7 - Utility Bills in Southern California, again The...Ch. 2.7 - What’s Normal? again Refer to Exercise1.67 and...Ch. 2 - Raisins The number of raisins in each of...Ch. 2 - Prob. 2.55SECh. 2 - Prob. 2.56SECh. 2 - A Recurring IIIness Refer to Exercise 1.26 and...Ch. 2 - Prob. 2.58SECh. 2 - Prob. 2.59SECh. 2 - Tuna Fish, again Refer to Exercise 2.8. Theprices...Ch. 2 - Prob. 2.61SECh. 2 - Chloroform According to the EPA, Chloroform, which...Ch. 2 - Prob. 2.63SECh. 2 - Sleep and the College Student How muchsleep do you...Ch. 2 - Prob. 2.65SECh. 2 - Prob. 2.66SECh. 2 - Polluted Seawater Petroleum pollution in seasand...Ch. 2 - Prob. 2.68SECh. 2 - Prob. 2.69SECh. 2 - Prob. 2.70SECh. 2 - Prob. 2.71SECh. 2 - Prob. 2.72SECh. 2 - Prob. 2.73SECh. 2 - Prob. 2.74SECh. 2 - TV Commercials The mean duration oftelevision...Ch. 2 - Prob. 2.76SECh. 2 - Prob. 2.77SECh. 2 - Prob. 2.78SECh. 2 - Prob. 2.79SECh. 2 - Prob. 2.80SECh. 2 - Prob. 2.81SECh. 2 - Prob. 2.82SECh. 2 - Prob. 2.83SECh. 2 - Prob. 2.84SECh. 2 - Prob. 2.85SE
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- Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).arrow_forwardA well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward
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