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In the casino game roulette, if a player bets $1 on red
Chapter 6, Problem 6E(choose chapter or problem)
In the casino game roulette, if a player bets $1 on red (or on black or on odd or on even), the probability of winning $1 is \(18/38\) and the probability of losing $1 is \(20/38\). Suppose that a player begins with $5 and makes successive $1 bets. Let \(Y\) equal the player’s maximum capital before losing the $5. One hundred observations of \(Y\) were simulated on a computer, yielding the following data:
25 9 5 5 5 9 6 5 15 45
55 6 5 6 24 21 16 5 8 7
7 5 5 35 13 9 5 18 6 10
19 16 21 8 13 5 9 10 10 6
23 8 5 10 15 7 5 5 24 9
11 34 12 11 17 11 16 5 15 5
12 6 5 5 7 6 17 20 7 8
8 6 10 11 6 7 5 12 11 18
6 21 6 5 24 7 16 21 23 15
11 8 6 8 14 11 6 9 6 10
(a) Construct an ordered stem-and-leaf display.
(b) Find the five-number summary of the data and draw a box-and-whisker diagram.
(c) Calculate the IQR and the locations of the inner and outer fences.
(d) Draw a box plot that shows the fences, suspected outliers, and outliers.
(e) Find the 90th percentile.
Equation Transcription:
Text Transcription:
18/38
20/38
Y
Questions & Answers
QUESTION:
In the casino game roulette, if a player bets $1 on red (or on black or on odd or on even), the probability of winning $1 is \(18/38\) and the probability of losing $1 is \(20/38\). Suppose that a player begins with $5 and makes successive $1 bets. Let \(Y\) equal the player’s maximum capital before losing the $5. One hundred observations of \(Y\) were simulated on a computer, yielding the following data:
25 9 5 5 5 9 6 5 15 45
55 6 5 6 24 21 16 5 8 7
7 5 5 35 13 9 5 18 6 10
19 16 21 8 13 5 9 10 10 6
23 8 5 10 15 7 5 5 24 9
11 34 12 11 17 11 16 5 15 5
12 6 5 5 7 6 17 20 7 8
8 6 10 11 6 7 5 12 11 18
6 21 6 5 24 7 16 21 23 15
11 8 6 8 14 11 6 9 6 10
(a) Construct an ordered stem-and-leaf display.
(b) Find the five-number summary of the data and draw a box-and-whisker diagram.
(c) Calculate the IQR and the locations of the inner and outer fences.
(d) Draw a box plot that shows the fences, suspected outliers, and outliers.
(e) Find the 90th percentile.
Equation Transcription:
Text Transcription:
18/38
20/38
Y
ANSWER:Step 1 of 6
(a) To construct a stem and leaf diagram using integer stems, imagine each number as its whole part(stem) and its decimal part (leaf). All the numbers are tabulated below in a stem and leaf diagram. Frequency for each stem is the number of leafs for each stem. Depth of each stem can be obtained by adding the frequencies from the low end to the high end until the middle value in the ordered display.