Discrete Mathematics
5th Edition
ISBN: 9780134689562
Author: Dossey, John A.
Publisher: Pearson,
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Chapter 8.5, Problem 36E
To determine
To evaluate: The probability that 3 consecutive numbers
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For each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical).
Month Number (Thousands)Dec 1991 65.60Jan 1992 71.60Feb 1992 78.80Mar 1992 111.60Apr 1992 107.60May 1992 115.20Jun 1992 117.80Jul 1992 106.20Aug 1992 109.90Sep 1992 106.00Oct 1992 111.80Nov 1992 84.50Dec 1992 78.60Jan 1993 70.50Feb 1993 74.60Mar 1993 95.50Apr 1993 117.80May 1993 120.90Jun 1993 128.50Jul 1993 115.30Aug 1993 121.80Sep 1993 118.50Oct 1993 123.30Nov 1993 102.30Dec 1993 98.70Jan 1994 76.20Feb 1994 83.50Mar 1994 134.30Apr 1994 137.60May 1994 148.80Jun 1994 136.40Jul 1994 127.80Aug 1994 139.80Sep 1994 130.10Oct 1994 130.60Nov 1994 113.40Dec 1994 98.50Jan 1995 84.50Feb 1995 81.60Mar 1995 103.80Apr 1995 116.90May 1995 130.50Jun 1995 123.40Jul 1995 129.10Aug 1995…
Chapter 8 Solutions
Discrete Mathematics
Ch. 8.1 - Evaluate the numbers in Exercises 1-12.
C(5, 3)
Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
C(12, 7)
Ch. 8.1 - Prob. 5ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Prob. 7ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Prob. 9ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
the...
Ch. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.2 - How many people must there be in order to assure...Ch. 8.2 - If a committee varies its meeting days, how many...Ch. 8.2 - Prob. 3ECh. 8.2 - How many words must be chosen in order to assure...Ch. 8.2 - Prob. 5ECh. 8.2 - If there are 6 sections of Discrete Math with a...Ch. 8.2 - Prob. 7ECh. 8.2 - A sociologist intends to send a questionnaire to...Ch. 8.2 - Prob. 9ECh. 8.2 - How many different pizzas can be ordered if a...Ch. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - A restaurant offers a choice of 3 green vegetables...Ch. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - How many 8-bit strings begin with 010 or end with...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prove that in any nonempty list of n integers (not...Ch. 8.2 - Prob. 35ECh. 8.2 - Suppose that there are 15 identical copies of The...Ch. 8.3 - Evaluate the numbers in Exercises 1-12.
1. C(6,...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Evaluate the numbers in Exercises 1-12.
4. C(8,...Ch. 8.3 - Evaluate the numbers in Exercises 1-12.
5. P(4,...Ch. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Evaluate the numbers in Exercises 1-12.
8. P(12,...Ch. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Evaluate the numbers in Exercises 1-12.
12. P(n,...Ch. 8.3 - Prob. 13ECh. 8.3 - How many different arrangements are there of the...Ch. 8.3 - Prob. 15ECh. 8.3 - How many different ways are there of selecting...Ch. 8.3 - Prob. 17ECh. 8.3 - How many different 16-bit strings contain exactly...Ch. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.4 - How many distinct arrangements of the letters in...Ch. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - How many different assortments of 6 boxes of...Ch. 8.4 - Prob. 7ECh. 8.4 - How many different boxes containing 10 wedges of...Ch. 8.4 - Prob. 9ECh. 8.4 - In how many different ways can 15 distinct books...Ch. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - In how many different ways can 6 identical sticks...Ch. 8.4 - A father has 10 identical life insurance policies....Ch. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - In how many different ways can 8 identical...Ch. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 26ECh. 8.4 - How many positive integers less than 10,000 are...Ch. 8.4 - How many distinct arrangements are there of two...Ch. 8.4 - How many positive integers less than 1,000,000 are...Ch. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - What is the probability that a randomly chosen...Ch. 8.5 - Prob. 20ECh. 8.5 - Three $ 10 bills, four $5 bills, and six $1 bills...Ch. 8.5 - If a 5-member committee is selected at random from...Ch. 8.5 - Suppose that we randomly distribute 5 distinct...Ch. 8.5 - If 10 quarters are distributed at random to 4...Ch. 8.5 - Exactly 4 of 20 microcomputer diskettes are...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - A file contains 25 accounts numbered 1–25. If 5 of...Ch. 8.5 - In the Illinois State Lotto game, 6 of the...Ch. 8.6 - In a survey of moviegoers it was found that 33...Ch. 8.6 - Among a group of children, 88 liked pizza and 27...Ch. 8.6 - Among the 318 members of a local union, 127 liked...Ch. 8.6 - In a particular dormitory, there are 350 college...Ch. 8.6 - From a group of 650 residents of a city, the...Ch. 8.6 - In tabulating the 5681 responses to a...Ch. 8.6 - The following data were obtained from the...Ch. 8.6 - The following information was found about the...Ch. 8.6 - Eight married couples came to a bridge party. Each...Ch. 8.6 - List all the derangements of 1, 2, 3, 4.
Ch. 8.6 - While taking a 6-week summer math class, Alison...Ch. 8.6 - How many sequences of five digits (0–9) contain at...Ch. 8.6 - For the following graph, determine the number of...Ch. 8.6 - If three married couples are seated randomly in...Ch. 8.6 - How many positive integers less than 101 are...Ch. 8.6 - How many sequences of six digits (0–9) contain at...Ch. 8.6 - At Brokaw Hospital, six babies were born to six...Ch. 8.6 - In how many ways can four married couples be...Ch. 8.6 - How many arrangements of the numbers 1, 1, 2, 2,...Ch. 8.6 - How many five-card poker hands contain at least...Ch. 8.6 - How many of the functions with domain {5, 6, 7, 8,...Ch. 8.6 - How many nonnegative integer solutions of x1 + x2...Ch. 8.6 - Suppose that five balls numbered 1, 2, 3, 4, and 5...Ch. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - For nonnegative integers n and m, define S(n, m)...Ch. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.7 - Prob. 1ECh. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - In Exercises 7-18, determine the successor of...Ch. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.7 - Prob. 30ECh. 8.7 - Prob. 31ECh. 8.7 - Prob. 32ECh. 8 - Prob. 1SECh. 8 - Prob. 2SECh. 8 - Prob. 3SECh. 8 - Prob. 4SECh. 8 - Prob. 5SECh. 8 - Prob. 6SECh. 8 - Prob. 7SECh. 8 - Prob. 8SECh. 8 - Prob. 9SECh. 8 - Prob. 10SECh. 8 - Prob. 11SECh. 8 - Prob. 12SECh. 8 - Prob. 13SECh. 8 - Prob. 14SECh. 8 - Prob. 15SECh. 8 - Prob. 16SECh. 8 - Prob. 17SECh. 8 - How many integers between 1500 and 8000...Ch. 8 - Prob. 19SECh. 8 - Prob. 20SECh. 8 - Prob. 21SECh. 8 - Prob. 22SECh. 8 - Prob. 23SECh. 8 - Prob. 24SECh. 8 - Prob. 25SECh. 8 - Prob. 26SECh. 8 - Prob. 27SECh. 8 - Prob. 28SECh. 8 - Prob. 29SECh. 8 - Prob. 30SECh. 8 - Prob. 31SECh. 8 - Prob. 32SECh. 8 - Prob. 33SECh. 8 - Prob. 34SECh. 8 - Prob. 35SECh. 8 - Prob. 36SECh. 8 - Prob. 37SECh. 8 - Prob. 38SECh. 8 - Prob. 39SECh. 8 - Prob. 41SECh. 8 - Prob. 42SECh. 8 - Prob. 43SECh. 8 - Prob. 44SECh. 8 - Prob. 45SECh. 8 - Prob. 46SECh. 8 - Prob. 47SECh. 8 - Prob. 49SECh. 8 - Prob. 50SECh. 8 - Prob. 51SECh. 8 - Prob. 52SECh. 8 - Prob. 53SECh. 8 - Prob. 56SECh. 8 - Prob. 57SECh. 8 - Prob. 3CPCh. 8 - Prob. 4CP
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