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Peck/Olsen/Devore-Intro to Stat & Data Analysis 4e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 29 / 29

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

Question
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–/3 –/3 –/4 –/9 –/6 –/4
Total
29/29 (100.0%)
  • Instructions

    Create your course assignments by selecting questions from our bank of end-of-section exercises.

    In this assignment we present several textbook question types found in Introduction to Statistics and Data Analysis 4/e by Roxy Peck, Chris Olsen, and Jay L. Devore, published by Brooks/Cole. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. /3 points PODStat4 6.E.009. My Notes
Question Part
Points
Submissions Used
1 2 3
/1 /1 /1
0/50 0/50 0/50
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/3
 
Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let D = defective and N = not defective). The chance experiment terminates as soon as two nondefective batteries have been obtained.
(a) Let A denote the event that at most four batteries must be examined to terminate the chance experiment. What outcomes are contained in A?
    

(b) Let B be the event that exactly four batteries must be examined before the chance experiment terminates. What outcomes are in B?
    


(c) What can be said about the number of possible outcomes for this chance experiment?
There are number of possible outcomes.

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2. /3 points PODStat4 6.E.022. My Notes
Question Part
Points
Submissions Used
1 2 3
/1 /1 /1
0/50 0/50 0/50
Total
/3
 
A mutual fund company offers its customers several different funds: a money market fund, three different bond funds, two stock funds, and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows:
Money market         20%
Short-term bond         14%
Intermediate-term bond         11%
Long-term bond         6%
High-risk stock         17%
Moderate-risk stock         25%
Balanced fund         7%
A customer who owns shares in just one fund is to be selected at random.
(a) What is the probability that the selected individual owns shares in the balanced fund?


(b) What is the probability that the individual owns shares in a bond fund?


(c) What is the probability that the selected individual does not own shares in a stock fund?

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3. /4 points PODStat4 6.E.031. My Notes
Question Part
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1 2 3 4
/1 /1 /1 /1
0/50 0/50 0/50 0/50
Total
/4
 
The article "Chances Are You Know Someone with a Tattoo, and He's Not a Sailor" included results from a survey of adults aged 18 to 50. The accompanying data are consistent with summary values given in the article shown below. Assuming these data are representative of adults in the United States and that a U.S. adult is selected at random, use the given information to estimate the following probabilities.
  At Least One Tattoo No Tattoo
Age 18-29 19 31
Age 30-50 6 44
(a) P(tattoo)


(b) P(tattoo | age 18-29)


(c) P(tattoo | age 30-50)


(d) P(age 18-29 | tattoo)

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4. /9 points PODStat4 6.E.051. My Notes
Question Part
Points
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1 2 3 4 5 6 7 8 9
/1 /1 /1 /1 /1 /1 /1 /1 /1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
/9
 
Consider a system consisting of four components, as pictured in the diagram shown below. Components 1 and 2 form a series subsystem, as do Components 3 and 4. The two subsystems are connected in parallel. Suppose that P(1 works) = .8, P(2 works) = .8, P(3 works) = .8, and P(4 works) = .8 and that the four components work independently of one another.
(a) The 1-2 subsystem works only if both components work. What is the probability of this happening?


(b) What is the probability that the 1-2 subsystem doesn't work?


That the 3-4 subsystem doesn't work?


(c) The system won't work if the 1-2 subsystem doesn't work and if the 3-4 subsystem also doesn't work. What is the probability that the system won't work?


That it will work?


(d) How would the probability of the system working change if a 5-6 subsystem were added in parallel with the other two subsystems? (Give the answer to four decimal places.)


It .

(e) How would the probability that the system works change if there were three components in series in each of the two subsystems? (Give the answer to four decimal places.)


It .

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5. /6 points PODStat4 6.E.056. My Notes
Question Part
Points
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1 2 3 4 5 6
/1 /1 /1 /1 /1 /1
0/50 0/50 0/50 0/50 0/50 0/50
Total
/6
 
A store sells two different brands of dishwasher soap, and each brand comes in three different sizes: small (S), medium (M), and large (L). The proportions of the two brands and of the three sizes purchased are displayed as marginal totals in the table. Suppose that any event involving brand is independent of any event involving size. What is the probability of the event that a randomly selected purchaser buys the small size of Brand B1 (the event B1S)? What are the probabilities of the other brand-size combinations? (Fill up the table.)

Size
SML
BrandB1 0.50
B2 0.50

0.500.100.40

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6. /4 points PODStat4 6.E.078. My Notes
Question Part
Points
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1 2 3 4
/1 /1 /1 /1
0/50 0/50 0/50 0/50
Total
/4
 
The Los Angeles Times reported that the U.S. Postal Service is getting speedier, with higher overnight on-time delivery rates than in the past. The Price Waterhouse accounting firm conducted an independent audit by seeding the mail with letters and recording ontime delivery rates for these letters. Suppose that the results were as follows (these numbers are fictitious but are compatible with summary values given in the article). Use the given information to estimate some probabilities.
 Number of Letters MailedNumber of Letters Arriving on Time
Los Angeles 500 420
New York 500 415
Washington, D.C. 500 400
Nationwide 6000 5160
(a) the probability of an on-time delivery in Los Angeles


(b) the probability of late delivery in Washington, D.C


(c) the probability that two letters mailed in New York are both delivered on time


(d) the probability of on-time delivery nationwide

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