2. A survey on TV channel preference shows housewives prefer only channel A, 115 prefer only channel B, 39prefer both channels, and 27 do not prefer either of the two channels.a. How many were included in the survey?b. How many prefer channel A?c. How many prefer exactly one channel?d. How many prefer at least 1 channel?

Union of Two Sets: For any two sets A and B, union of A and B, written as A∪B, is defined as the set…

Answered: 2. A survey on TV channel preference…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Refer to the study below of how people attempt to influence the choices of others. Recall that students selected three portable grill displays to be compared from an offering of five different grill displays.a). Use a counting rule to count the number of ways the three displays can be selected from the five available displays to form a three grill display combination.b). The researchers informed students to select the three displays in order to convince people to choose Grill #2. Consequently, Grill #2 was a required selection. Use a counting rule to count the number of different ways the three grill displays can be selected from the five displays if grill #2 is selected. (The answer should agree with the answer of a)c). Now suppose the three selected grills will be set up in a specific order for viewing by a customer. (The customer views one grill first, then the second, and finally the third grill). Again, grill #2 must be one of the three selected. How many different ways can the…
85 cities were surveyed to determine sports teams. 25 had soccer, 19 had rugby, 18 had basketball, 11 had soccer and rugby, 12 had soccer and basketball, 11 had rugby and basketball. 6 had all three. Let A = soccer, B = rugby, C = basketball. How many had only a basketball team? 1 How many had soccer and rugby, but not basketball? 5 How many had soccer or rugby? 33 How many had soccer or rugby, but not basketball? 16 How many had exactly two teams? U A I IV II VII VI III с B VIII
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A college food court surveyed 649 students to see how many drink coffee, how many drink soda, and how many drink milk. The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.) -All students in the survey- -Drink soda Drink coffee 102 47 123 135 68 82 students Attempt: Drink milk 54 38 (a) How many of the students drink coffee? 373 students (b) How many of the students drink neither coffee nor milk? students (c) How many of the students drink both soda and milk, but don't drink coffee? 0 X S
92 cities were surveyed to determine sports teams. 25 had soccer, 23 had rugby, 17 had volleyball, 14 had soccer and rugby, 10 had soccer and volleyball, 11 had rugby and volleyball. 6 had all three. Let A = soccer, B= rugby, C= volleyball. How many had only a rugby team? A I IV II V VII III VI C B VIII

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