(a) To determine The total number of people surveyed. Explanation Given: A marine biologist surveys people who fish on Lake Eerie and caught at least one fish to determine whether they had caught a walleye, a smallmouth bass, or a yellow perch in the last year. The data recorded in the survey are given below. 124 caught at least one walleye. 133 caught at least one smallmouth bass. 146 caught at least one yellow perch. 75 caught at least one walleye and at least one smallmouth bass. 67 caught at least one walleye and at least one yellow perch. 79 caught at least one smallmouth bass and at least one yellow perch. 45 caught all three. Explanation: Consider three sets W , S , Y , where W represents the people who caught at least one walleye, S represents the people who caught at least one smallmouth bass and Y represents the people who caught at least one yellow perch. A Venn diagram representing the relationship between the three sets is given below where the parentheses denotes the various regions of the Venn diagram. 45 caught all three fishes. Place 45 in region 5 of the above Venn diagram. Of the 75 people who caught at least walleye and at least one smallmouth bass, 45 also caught yellow perch. Therefore, 75 − 45 = 30 people caught only walleye and smallmouth bass. Place 30 in region 2 of the Venn diagram. Of the 67 people who caught at least walleye and at least one yellow perch, 45 also caught smallmouth bass. Therefore, 67 − 45 = 22 people caught only walleye and yellow perch. Place 22 in region 4 of the Venn diagram. Of the 79 people who caught at least one yellow perch and at least one smallmouth bass, 45 also caught walleye. Therefore, 79 − 45 = 34 people caught only yellow perch and smallmouth bass (b) To determine The total number of people who caught at least one walleye or at least one smallmouth bass. (c) To determine The total number of people who caught only walleye.

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

See similar textbooks

Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axi…

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between…

Videos

Question

Chapter 8.2, Problem 21E

(a)

To determine

The total number of people surveyed.

(b)

To determine

The total number of people who caught at least one walleye or at least one smallmouth bass.

(c)

To determine

The total number of people who caught only walleye.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.2, Problem 20E

Chapter 8.2, Problem 22E

Students have asked these similar questions

12:25 AM Sun Dec 22 uestion 6- Week 8: QuX Assume that a company X + → C ezto.mheducation.com Week 8: Quiz i Saved 6 4 points Help Save & Exit Submit Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment is closest to: Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided. 00:33:45 Multiple Choice О $6,984. $11,859. $22,919. ○ $9,469, Mc Graw Hill 2 100-

No chatgpt pls will upvote

7. [10 marks] Let G = (V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a cycle in G on which x, y, and z all lie. (a) First prove that there are two internally disjoint xy-paths Po and P₁. (b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that there are three paths Qo, Q1, and Q2 such that: ⚫each Qi starts at z; • each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are distinct; the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex 2) and are disjoint from the paths Po and P₁ (except at the end vertices wo, W1, and w₂). (c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and z all lie. (To do this, notice that two of the w; must be on the same Pj.)

Chapter 8 Solutions

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 8.1 - Checkpoint 1 Indicate whether each statement is...Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Checkpoint 5 Find the number of subsets for each...Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.