Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 4, Problem 5CRP
a.
To determine
Find the
Compare the above probability to the probability of getting each individual a job offer.
b.
To determine
Compute the probability of getting an offer for either the first job or the second job.
Compare this probability to the probability of getting each individual a job offer.
Explain whether it seems worthwhile to apply for both jobs.
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 4 Solutions
Understandable Statistics: Concepts and Methods
Ch. 4.1 - Statistical Literacy List three methods of...Ch. 4.1 - Prob. 2PCh. 4.1 - Prob. 3PCh. 4.1 - Statistical Literacy What is the law of large...Ch. 4.1 - Prob. 5PCh. 4.1 - Prob. 6PCh. 4.1 - Prob. 7PCh. 4.1 - Prob. 8PCh. 4.1 - Interpretation An investment opportunity boasts...Ch. 4.1 - Interpretation A sample space consists of 4 simple...
Ch. 4.1 - Critical Thinking Consider a family with 3...Ch. 4.1 - Prob. 12PCh. 4.1 - Prob. 13PCh. 4.1 - Critical Thinking (a) Explain why 0.41 cannot be...Ch. 4.1 - Myers-Briggs: Personality Types Isabel Briggs...Ch. 4.1 - General: Roll a Die (a) If you roll a single die...Ch. 4.1 - Psychology: Creativity When do creative people get...Ch. 4.1 - Agriculture: Cotton A botanist has developed a new...Ch. 4.1 - Expand Your Knowledge: Odds in Favor Sometimes...Ch. 4.1 - Expand Your Knowledge: Odds Against Betting odds...Ch. 4.1 - Business: Customers John runs a computer software...Ch. 4.2 - Statistical Literacy If two events are mutually...Ch. 4.2 - Statistical Literacy If two events A and B are...Ch. 4.2 - Basic Computation: Addition Rule Given P(A) = 0.3...Ch. 4.2 - Basic Computation: Addition Rule Given P(A) = 0.7...Ch. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.2 - Prob. 7PCh. 4.2 - Prob. 8PCh. 4.2 - Prob. 9PCh. 4.2 - Prob. 10PCh. 4.2 - Prob. 11PCh. 4.2 - Prob. 12PCh. 4.2 - Prob. 13PCh. 4.2 - Prob. 14PCh. 4.2 - Prob. 15PCh. 4.2 - Environmental: Land Formations Arches National...Ch. 4.2 - Prob. 17PCh. 4.2 - General: Roll Two Dice You roll two fair dice, a...Ch. 4.2 - Prob. 19PCh. 4.2 - Prob. 20PCh. 4.2 - Prob. 21PCh. 4.2 - General: Deck of Cards You draw two cards from a...Ch. 4.2 - General: Deck of Cards You draw two cards from a...Ch. 4.2 - Prob. 24PCh. 4.2 - Marketing: Toys USA Today gave the information...Ch. 4.2 - Prob. 26PCh. 4.2 - Prob. 27PCh. 4.2 - Prob. 28PCh. 4.2 - Prob. 29PCh. 4.2 - Survey: Medical Tests Diagnostic tests of medical...Ch. 4.2 - Survey: Lung/Heart In an article titled Diagnostic...Ch. 4.2 - Survey: Customer Loyalty Are customers more loyal...Ch. 4.2 - Franchise Stores: Profits Wing Foot is a shoe...Ch. 4.2 - Education: College of Nursing At Litchfield...Ch. 4.2 - Medical: Tuberculosis The state medical school has...Ch. 4.2 - Prob. 36PCh. 4.2 - Brain Teasers Assume A and B are events such that...Ch. 4.2 - Brain Teasers Assume A and B are events such that...Ch. 4.2 - Prob. 39PCh. 4.2 - Prob. 40PCh. 4.2 - Prob. 41PCh. 4.2 - Prob. 42PCh. 4.2 - Prob. 43PCh. 4.2 - Prob. 44PCh. 4.2 - Prob. 45PCh. 4.2 - Prob. 46PCh. 4.2 - Prob. 47PCh. 4.2 - Prob. 48PCh. 4.2 - Prob. 49PCh. 4.2 - Prob. 50PCh. 4.2 - Prob. 51PCh. 4.2 - Prob. 52PCh. 4.3 - Prob. 1PCh. 4.3 - Prob. 2PCh. 4.3 - Prob. 3PCh. 4.3 - Prob. 4PCh. 4.3 - Tree Diagram (a) Draw a tree diagram to display...Ch. 4.3 - Tree Diagram (a) Draw a tree diagram to display...Ch. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Multiplication Rule for Counting A sales...Ch. 4.3 - Counting: Agriculture Barbara is a research...Ch. 4.3 - Counting: Outcomes You toss a pair of dice. (a)...Ch. 4.3 - Compute P5,2.Ch. 4.3 - Prob. 14PCh. 4.3 - Compute P7,7.Ch. 4.3 - Compute P9,9.Ch. 4.3 - Compute C5,2.Ch. 4.3 - Compute C8,3.Ch. 4.3 - Prob. 19PCh. 4.3 - Prob. 20PCh. 4.3 - Counting: Hiring There are three nursing positions...Ch. 4.3 - Counting: Lottery In the Cash Now lottery game...Ch. 4.3 - Counting: Sports The University of Montana ski...Ch. 4.3 - Counting: Sales During the Computer Daze special...Ch. 4.3 - Counting: Hiring There are 15 qualified applicants...Ch. 4.3 - Counting: Grading One professor grades homework by...Ch. 4.3 - Prob. 27PCh. 4.3 - Counting: Powerball The Viewpoint of this section,...Ch. 4 - Prob. 1CRPCh. 4 - Prob. 2CRPCh. 4 - Prob. 3CRPCh. 4 - Prob. 4CRPCh. 4 - Prob. 5CRPCh. 4 - Prob. 6CRPCh. 4 - Prob. 7CRPCh. 4 - Critical Thinking For a class activity, your group...Ch. 4 - Prob. 9CRPCh. 4 - Prob. 10CRPCh. 4 - Prob. 11CRPCh. 4 - Prob. 12CRPCh. 4 - Prob. 13CRPCh. 4 - Prob. 14CRPCh. 4 - Prob. 15CRPCh. 4 - Prob. 16CRPCh. 4 - Prob. 17CRPCh. 4 - Prob. 18CRPCh. 4 - Prob. 19CRPCh. 4 - Prob. 20CRPCh. 4 - Look at Figure 4-11, Whos Cracking the Books? (a)...Ch. 4 - Prob. 2LCCh. 4 - Prob. 1UT
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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardA survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forward2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model below: 1 y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €. See Question 2, Tutorial 3 for the meaning of the variables in the above model. The following results are obtained: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.302e+03 4.320e+02 3.015 0.00307 x4 x6 x8 x4:x8 x6:x8 -1.442e+02 2.056e+01 -7.013 1.02e-10 6.340e-01 6.099e+00 0.104 0.91737 -9.455e-02 5.802e-02 -1.630 0.10550 2.882e-02 2.589e-03 11.132 1.673e-03 7.215e-04 2.319 F) x4 1 3486722 3486722 17.9286 4.214e-05 x6 1 14595537 x8 x4:x8 x6:x8 1 132.4836 < 2.2e-16 1045693 194478 5.3769 0.02191 1 1198603043 1198603043 6163.1900 < 2.2e-16 1 25765100 25765100 1045693 Residuals 135 26254490 Estimated variance matrix (Intercept) x4 x6 x8 x4:x8 x6:x8 (Intercept) x4 x6 x8 x4:x8 x6:x8 0.18875694 1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953 -5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013 -2.322825e+03…arrow_forward
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- I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forwardThis exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainzarrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
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