Introduction To Probability And Statistics
15th Edition
ISBN: 9781337554428
Author: Mendenhall, William.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1.4, Problem 4E
Interpreting Relative Frequency Histograms Use the relative frequency histogram that follows to calculate
the proportion of measurements falling into the intervals given in Exercises 3−8. Remember that the classes
include the left boundary point, but not the right.
4. 32 to < 33.5
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Elementary StatsBase on the given data uploaded in module 4, change the variable sale price into two categories: abovethe mean price or not; and change the living area into two categories: above the median living area ornot ( your two group should have close number of houses in each group). Using the resulting variables,will you conclude that larger house corresponding to higher price?Note: Need computer output, Ho and Ha, P and decision. If p is small, you need to explain what type ofdependency (association) we have using an appropriate pair of percentages.
Please include how to use the data in SPSS and interpretation of data.
An environmental research team is studying the daily rainfall (in millimeters) in a region over 100 days.
The data is grouped into the following histogram bins:
Rainfall Range (mm) Frequency
0-9.9
15
10 19.9
25
20-29.9
30
30-39.9
20
||40-49.9
10
a) If a random day is selected, what is the probability that the rainfall was at least 20 mm but less than 40
mm?
b) Estimate the mean daily rainfall, assuming the rainfall in each bin is uniformly distributed and the
midpoint of each bin represents the average rainfall for that range.
c) Construct the cumulative frequency distribution and determine the rainfall level below which 75% of the
days fall.
d) Calculate the estimated variance and standard deviation of the daily rainfall based on the histogram data.
An electronics company manufactures batches of n circuit boards. Before a batch is approved for shipment,
m boards are randomly selected from the batch and tested. The batch is rejected if more than d boards in
the sample are found to be faulty.
a) A batch actually contains six faulty circuit boards. Find the probability that the batch is rejected when
n = 20, m = 5, and d = 1.
b) A batch actually contains nine faulty circuit boards. Find the probability that the batch is rejected when
n = 30, m = 10, and d = 1.
Chapter 1 Solutions
Introduction To Probability And Statistics
Ch. 1.1 - Experimental UnitsDefine the experimental units...Ch. 1.1 - Experimental UnitsDefine the experimental units...Ch. 1.1 - Experimental UnitsDefine the experimental units...Ch. 1.1 - Experimental UnitsDefine the experimental units...Ch. 1.1 - Experimental UnitsDefine the experimental units...Ch. 1.1 - Qualitative or Quantitative? Are the variables in...Ch. 1.1 - Qualitative or Quantitative? Are the variables in...Ch. 1.1 - Qualitative or Quantitative? Are the variables in...Ch. 1.1 - Qualitative or Quantitative? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...
Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Discrete or Continuous? Are the variables in...Ch. 1.1 - Populations or Samples? In Exercises 1922,...Ch. 1.1 - Populations or Samples? In Exercises 1922,...Ch. 1.1 - Populations or Samples? In Exercises 1922,...Ch. 1.1 - Populations or Samples? In Exercises 1922,...Ch. 1.1 - Parking on Campus Six vehicles selected from a...Ch. 1.1 - Past U.S. Presidents A data set gives the ages at...Ch. 1.1 - Voter Attitudes You are a candidate for your state...Ch. 1.1 - Cancer Survival Times A researcher wants to...Ch. 1.1 - New Teaching Methods A researcher wants to know...Ch. 1.2 - Pie and Bar Charts The data in Exercises 13...Ch. 1.2 - Pie and Bar Charts The data in Exercises 13...Ch. 1.2 - Pie and Bar Charts The data in Exercises 13...Ch. 1.2 - Groups of People Fifty people are grouped into...Ch. 1.2 - Presidential Popularity After the elections of...Ch. 1.2 - Presidential Popularity After the elections of...Ch. 1.2 - Presidential Popularity After the elections of...Ch. 1.2 - Presidential Popularity After the elections of...Ch. 1.2 - Presidential Popularity After the elections of...Ch. 1.2 - Prob. 10ECh. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Back to Work How long does it take you to adjust...Ch. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.3 - DotplotsConstruct a dotplot for the data given in...Ch. 1.3 - DotplotsConstruct a dotplot for the data given in...Ch. 1.3 - Stem and Leaf I Construct a stem and leaf plot for...Ch. 1.3 - Stem and Leaf I Construct a stem and leaf plot for...Ch. 1.3 - Stem and Leaf I Construct a stem and leaf plot for...Ch. 1.3 - Stem and Leaf II Use the following set of data...Ch. 1.3 - Stem and Leaf II Use the following set of data...Ch. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - Comparing Graphs A discrete variable can take on...Ch. 1.3 - Prob. 11ECh. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Calcium Contents The calcium content (Ca)of a...Ch. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - American Presidents The following table lists the...Ch. 1.4 - Graphing Relative Frequency Histograms Construct a...Ch. 1.4 - Graphing Relative Frequency Histograms Construct a...Ch. 1.4 - Interpreting Relative Frequency Histograms Use the...Ch. 1.4 - Interpreting Relative Frequency Histograms Use the...Ch. 1.4 - Interpreting Relative Frequency Histograms Use the...Ch. 1.4 - Interpreting Relative Frequency Histograms Use the...Ch. 1.4 - Interpreting Relative Frequency Histograms Use the...Ch. 1.4 - Interpreting Relative Frequency Histograms Use the...Ch. 1.4 - Class Boundaries In Exercises 912, use the...Ch. 1.4 - Class Boundaries In Exercises 912, use the...Ch. 1.4 - Prob. 11ECh. 1.4 - Prob. 12ECh. 1.4 - Prob. 13ECh. 1.4 - Prob. 14ECh. 1.4 - Relative Frequency Histogram I Construct a...Ch. 1.4 - Prob. 16ECh. 1.4 - Prob. 17ECh. 1.4 - Prob. 18ECh. 1.4 - Prob. 19ECh. 1.4 - Prob. 20ECh. 1.4 - Prob. 21ECh. 1.4 - Prob. 22ECh. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - A Recurring Illness The length of time (in months)...Ch. 1.4 - Prob. 26ECh. 1.4 - Prob. 27ECh. 1.4 - Prob. 28ECh. 1.4 - Prob. 29ECh. 1.4 - Prob. 30ECh. 1.4 - Prob. 31ECh. 1.4 - Student Heights The self-reported heights of 105...Ch. 1.4 - Prob. 33ECh. 1 - Quantitative or Qualitative? Identify each...Ch. 1 - Symmetric or Skewed? Do you expect the...Ch. 1 - Continuous or Discrete? Identify each variable as...Ch. 1 - Continuous or Discrete, again Identify each...Ch. 1 - World Lakes A lake is a body of water surrounded...Ch. 1 - Prob. 6RWYLCh. 1 - Election Results The 2016 election was a race in...Ch. 1 - Prob. 8RWYLCh. 1 - Prob. 9RWYLCh. 1 - Pulse Rates A group of 50 biomedical students...Ch. 1 - Prob. 11RWYLCh. 1 - Prob. 12RWYLCh. 1 - Gasoline Tax The following are the 2017 state...Ch. 1 - Prob. 14RWYLCh. 1 - Prob. 15RWYLCh. 1 - Prob. 16RWYLCh. 1 - Kentucky Derby The following data set shows the...Ch. 1 - Prob. 18RWYLCh. 1 - Old Faithful The following data are the waiting...Ch. 1 - Prob. 20RWYLCh. 1 - Prob. 1CSCh. 1 - Prob. 2CS
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Twenty-eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the first column is the count per branch, the second column is the stem value, and the remaining digits are the leaves. a) List all the values. Count 1 Stems Leaves 4 6 1 4 6 567 9 3688 026799 9 8 145667788 7 9 1234788 b) Calculate the first quartile (Q1) and the third Quartile (Q3). c) Calculate the interquartile range. d) Construct a boxplot for this data.arrow_forwardPam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3). If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}. Using the lone-divider method, how many different fair divisions of this cake are possible?arrow_forward
- Theorem 2.6 (The Minkowski inequality) Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and E|Y P <00. Then X+YpX+Yparrow_forwardTheorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and set Var X = 0². Then, for 0 0, P(X > x) ≤e-x+1²² P(|X|>x) ≤2e-1x+1²² (ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for x > 0. and 0x) ≤2 exp Σ k=1 (iii) If, in addition, X1, X2, X, are identically distributed, then P(S|x) ≤2 expl-tx+nt²o).arrow_forwardTheorem 5.1 (Jensen's inequality) state without proof the Jensen's Ineg. Let X be a random variable, g a convex function, and suppose that X and g(X) are integrable. Then g(EX) < Eg(X).arrow_forward
- Can social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.arrow_forwardQuestion: we know that for rt. (x+ys s ا. 13. rs. and my so using this, show that it vye and EIXI, EIYO This : E (IX + Y) ≤2" (EIX (" + Ely!")arrow_forwardTheorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . |EXY ≤ E|XY|||X|| ||||qarrow_forward
- Theorem 7.6 (Etemadi's inequality) Let X1, X2, X, be independent random variables. Then, for all x > 0, P(max |S|>3x) ≤3 max P(S| > x). Isk≤narrow_forwardTheorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x 1≤k≤n S√2), -S√2). P(max Sk>x) ≤ 2P(|S|>x- 1arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License