Discrete Mathematics With Applications
5th Edition
ISBN: 9781337694193
Author: EPP, Susanna S.
Publisher: Cengage Learning,
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Chapter 6.3, Problem 50ES
To determine
To prove:
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Problem 1
An airport is served with an average of 10 departures per day to your desired
destination. However, all these flights leave at random times. You are trying to decide how
long you are willing to wait to catch the next flight after you arrive at airport.
Part A: Acceptable waiting time: T [min] = 78min
Part B: What is the probability there will be exactly one departure during this waiting time?
Part C: What is the probability there will be exactly no departure during this waiting time?
Part D: Which calculation (B or C) should you use to make your decision to wait or leave?
Why?
Problem 5
Consider the hospital admissions table presented in the lecture:
刊
Outcome
LWBS
Admitted
Hospital 1
195
Hospital 2
270
Hospital 3
246
Hospital 4
242
1277
1558
1350
984
Not Admitted
3820
5163
4728
3103
Part A: What is the conditional probability that you were admitted if you went to hospital 3?
Part B: What is the conditional probability that you went to hospital 3 if you were admitted?
QUAT6221wA1
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Q.1.2
Match the definition in column X with the correct term in column Y.
Two marks will be awarded for each correct answer.
(20)
COLUMN X
Q.1.2.1
COLUMN Y
Condenses sample data into a few summary
A.
Statistics
measures
Q.1.2.2
The collection of all possible observations that
exist for the random variable under study.
B.
Descriptive statistics
Q.1.2.3
Describes a characteristic of a sample.
C.
Ordinal-scaled data
Q.1.2.4
The actual values or outcomes are recorded
on a random variable.
D.
Inferential statistics
0.1.2.5
Categorical data, where the categories have an
implied ranking.
E.
Data
Q.1.2.6
A set of mathematically based tools &
techniques that transform raw data into
F.
Statistical modelling
information to support effective decision-
making.
45
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Chapter 6 Solutions
Discrete Mathematics With Applications
Ch. 6.1 - The notation is read”______” and means that___Ch. 6.1 - To use an element argument for proving that a set...Ch. 6.1 - Prob. 3TYCh. 6.1 - An element x is in AB if , and only if,_______Ch. 6.1 - An element x in AB if, and only if,______Ch. 6.1 - An element x is in B-A if, and only if,______Ch. 6.1 - An elements x is in Acif, and only if.______Ch. 6.1 - The empty set is a set with ______Ch. 6.1 - The power set of a set A is _____Ch. 6.1 - Prob. 10TY
Ch. 6.1 - A collection of nonempty set is a partition of a...Ch. 6.1 - Prob. 1ESCh. 6.1 - Complete the proof from Example 6.1.3: Prove that...Ch. 6.1 - Let sets R, S, and T be defined as follows:...Ch. 6.1 - Let A={nZn=5rforsomeintegerr} and...Ch. 6.1 - Prob. 5ESCh. 6.1 - Let...Ch. 6.1 - ...Ch. 6.1 - Prob. 8ESCh. 6.1 - Complete the following sentences without using the...Ch. 6.1 - ...Ch. 6.1 - Let the universal set be R, the set of all real...Ch. 6.1 - Let the universal set be R, the set of all real...Ch. 6.1 - Let S be the set of all strings of 0’s and 1’s of...Ch. 6.1 - Prob. 14ESCh. 6.1 - Prob. 15ESCh. 6.1 - Prob. 16ESCh. 6.1 - Prob. 17ESCh. 6.1 - a. Is the number 0 in ? Why? b. Is ={} ? Why ? c....Ch. 6.1 - Prob. 19ESCh. 6.1 - Let Bi={xR0xi} for each integer i=1,2,3,4. a....Ch. 6.1 - Let Ci={i,i} for each nonnegative integer i.Ch. 6.1 - Let Di={xR-ixi}=[i,i] for each nonnegative integer...Ch. 6.1 - Let Vi={xR1ix1i}=[1i,1i] for each positive integer...Ch. 6.1 - Let Wi={xRxi}=(i,) for each nonnegative integer i....Ch. 6.1 - Let Ri={xR1x1+1i}=[1,1+1i]foreachpositiveintegeri....Ch. 6.1 - Let Si={xR1x1+1i}=(1,1+1i) for each positive...Ch. 6.1 - Prob. 27ESCh. 6.1 - Let E be the set of all even integers and O the...Ch. 6.1 - Let R be the set of all real number. Is a...Ch. 6.1 - Let Z be the set of all integers and let...Ch. 6.1 - Prob. 31ESCh. 6.1 - Suppose A={1} and B={u,v} . Find P(AB) . Suppose...Ch. 6.1 - Find P() FindP(p()). Find p(p(p())) .Ch. 6.1 - Prob. 34ESCh. 6.1 - Prob. 35ESCh. 6.1 - Prob. 36ESCh. 6.1 - Prob. 37ESCh. 6.1 - Write an algorithm to determine whether a given...Ch. 6.2 - Prob. 1TYCh. 6.2 - Prob. 2TYCh. 6.2 - Prob. 3TYCh. 6.2 - Prob. 4TYCh. 6.2 - Prob. 5TYCh. 6.2 - Prob. 6TYCh. 6.2 - To say that an element is in A(BC) means that it...Ch. 6.2 - The following are two proofs that for all sets A...Ch. 6.2 - In 3 and 4, supply explanations of the steps in...Ch. 6.2 - Prob. 4ESCh. 6.2 - Prob. 5ESCh. 6.2 - Let and stand for the words “intersection” and...Ch. 6.2 - Prob. 7ESCh. 6.2 - Prob. 8ESCh. 6.2 - Prob. 9ESCh. 6.2 - Prob. 10ESCh. 6.2 - Prob. 11ESCh. 6.2 - Prob. 12ESCh. 6.2 - Prob. 13ESCh. 6.2 - Prob. 14ESCh. 6.2 - Prob. 15ESCh. 6.2 - Prob. 16ESCh. 6.2 - Prob. 17ESCh. 6.2 - Prob. 18ESCh. 6.2 - Prob. 19ESCh. 6.2 - Prob. 20ESCh. 6.2 - Prob. 21ESCh. 6.2 - Prob. 22ESCh. 6.2 - Prob. 23ESCh. 6.2 - Prob. 24ESCh. 6.2 - Prob. 25ESCh. 6.2 - Prob. 26ESCh. 6.2 - Fill in the blanks in the following proof that for...Ch. 6.2 - Prob. 28ESCh. 6.2 - Prob. 29ESCh. 6.2 - Prob. 30ESCh. 6.2 - Prob. 31ESCh. 6.2 - Prob. 32ESCh. 6.2 - Prob. 33ESCh. 6.2 - Prob. 34ESCh. 6.2 - Prob. 35ESCh. 6.2 - Prob. 36ESCh. 6.2 - Prob. 37ESCh. 6.2 - Prob. 38ESCh. 6.2 - Prove each statement is 39-44. For all sets A and...Ch. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.2 - Prob. 41ESCh. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.2 - Prob. 43ESCh. 6.2 - Prob. 44ESCh. 6.3 - Given a proposed set identity set identity...Ch. 6.3 - When using algebraic method for proving a set...Ch. 6.3 - Prob. 3TYCh. 6.3 - Prob. 1ESCh. 6.3 - Prob. 2ESCh. 6.3 - Prob. 3ESCh. 6.3 - Prob. 4ESCh. 6.3 - Prob. 5ESCh. 6.3 - Prob. 6ESCh. 6.3 - Prob. 7ESCh. 6.3 - Prob. 8ESCh. 6.3 - Prob. 9ESCh. 6.3 - Prob. 10ESCh. 6.3 - Prob. 11ESCh. 6.3 - Prob. 12ESCh. 6.3 - Prob. 13ESCh. 6.3 - Prob. 14ESCh. 6.3 - Prob. 15ESCh. 6.3 - Prob. 16ESCh. 6.3 - Prob. 17ESCh. 6.3 - Prob. 18ESCh. 6.3 - Prob. 19ESCh. 6.3 - Prob. 20ESCh. 6.3 - Prob. 21ESCh. 6.3 - Write a negation for each of the following...Ch. 6.3 - Let S={a,b,c} and for each integer i = 0, 1, 2, 3,...Ch. 6.3 - Let A={t,u,v,w} , and let S1 be the set of all...Ch. 6.3 - Prob. 25ESCh. 6.3 - Prob. 26ESCh. 6.3 - Prob. 27ESCh. 6.3 - Prob. 28ESCh. 6.3 - Some steps are missing from the following proof...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - Prob. 31ESCh. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - Prob. 33ESCh. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30—40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - Prob. 41ESCh. 6.3 - Prob. 42ESCh. 6.3 - Prob. 43ESCh. 6.3 - Prob. 44ESCh. 6.3 - Consider the following set property: For all sets...Ch. 6.3 - Prob. 46ESCh. 6.3 - Prob. 47ESCh. 6.3 - Prob. 48ESCh. 6.3 - Prob. 49ESCh. 6.3 - Prob. 50ESCh. 6.3 - Prob. 51ESCh. 6.3 - Prob. 52ESCh. 6.3 - Prob. 53ESCh. 6.3 - Prob. 54ESCh. 6.4 - In the comparison between the structure of the set...Ch. 6.4 - Prob. 2TYCh. 6.4 - Prob. 3TYCh. 6.4 - Prob. 1ESCh. 6.4 - Prob. 2ESCh. 6.4 - In 1-3 assume that B is a Boolean algebra with...Ch. 6.4 - Prob. 4ESCh. 6.4 - Prob. 5ESCh. 6.4 - Prob. 6ESCh. 6.4 - Prob. 7ESCh. 6.4 - Prob. 8ESCh. 6.4 - Prob. 9ESCh. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - Prob. 11ESCh. 6.4 - Exercises 12-15 provide an outline for a proof...Ch. 6.4 - Prob. 13ESCh. 6.4 - Exercises 12-15 provide an outline for a proof...Ch. 6.4 - Prob. 15ESCh. 6.4 - Prob. 16ESCh. 6.4 - Prob. 17ESCh. 6.4 - In 16-21 determine where each sentence is a...Ch. 6.4 - In 16-21 determin whether each sentence is a...Ch. 6.4 - In 16-21 determine wherether each sentence is a...Ch. 6.4 - In 16-21 determine wherether each sentence is a...Ch. 6.4 - Prob. 22ESCh. 6.4 - Prob. 23ESCh. 6.4 - Can there exist a cimputer program that has as...Ch. 6.4 - Can there exist a book that refers to all those...Ch. 6.4 - Some English adjectives are descriptive of...Ch. 6.4 - As strange as it may seem, it is possible to give...Ch. 6.4 - Is there an alogroithm whichm for a fixed quantity...Ch. 6.4 - Prob. 29ES
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