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candidates? 6.89 (a) Prove that for any events E, and E2, Pr{E₁ + E₂] ≤ Pr{E₁} + Pr{E₂}. (b) Generalize the result in part (a). 600 The members of a consulting firm rent cars from three rental agencies-60 percent from agency 1, 30 1 need a

candidates? 6.89 (a) Prove that for any events E, and E2, Pr{E₁ + E₂] ≤ Pr{E₁} + Pr{E₂}. (b) Generalize the result in part (a). 600 The members of a consulting firm rent cars from three rental agencies-60 percent from agency 1, 30 1 need a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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6.88 A sample poll of 200 voters revealed the following information concerning three candidates (A, B, and C) of a certain party who were running for three different offices: 28 in favor of both A and B 98 in favor of A or B but not C 122 in favor of B or C but not A 64 in favor of C but not A or B 42 in favor of B but not A or C 14 in favor of A and C but not B How many of the voters were in favor of (a) all three candidates, (b) A irrespective of B or C, (c) B irrespective of A or C, (d) C irrespective of A or B, (e) A and B but not C, and (f) only one of the candidates? 6.89 (a) Prove that for any events E, and E₂, Pr{E₁ + E₂} ≤ Pr{E₁} + Pr{E₂}. (b) Generalize the result in part (a). 6.90 The members of a consulting firm rent cars from three rental agencies-60 percent from agency 1, 30 percent from agency 2, and 10 percent from agency 3. If 9 percent of the cars from agency 1 need a tune-up, 20 percent of the cars from agency need a tune-up, and 6 percent of the cars from agency 3 need a tune-up, then (a) What is the probability that a rental car delivered to the firm will need a tune-up? (b) If given that a rental car delivered to the firm needs a tune-up, find the probability that it belongs to agency 2. 6.91 Each of three identical jewelry boxes has two drawers. In each drawer of the first box there is a gold there is silver watch. In one drawer of the third box there is
Transcribed Image Text:6.88 A sample poll of 200 voters revealed the following information concerning three candidates (A, B, and C) of a certain party who were running for three different offices: 28 in favor of both A and B 98 in favor of A or B but not C 122 in favor of B or C but not A 64 in favor of C but not A or B 42 in favor of B but not A or C 14 in favor of A and C but not B How many of the voters were in favor of (a) all three candidates, (b) A irrespective of B or C, (c) B irrespective of A or C, (d) C irrespective of A or B, (e) A and B but not C, and (f) only one of the candidates? 6.89 (a) Prove that for any events E, and E₂, Pr{E₁ + E₂} ≤ Pr{E₁} + Pr{E₂}. (b) Generalize the result in part (a). 6.90 The members of a consulting firm rent cars from three rental agencies-60 percent from agency 1, 30 percent from agency 2, and 10 percent from agency 3. If 9 percent of the cars from agency 1 need a tune-up, 20 percent of the cars from agency need a tune-up, and 6 percent of the cars from agency 3 need a tune-up, then (a) What is the probability that a rental car delivered to the firm will need a tune-up? (b) If given that a rental car delivered to the firm needs a tune-up, find the probability that it belongs to agency 2. 6.91 Each of three identical jewelry boxes has two drawers. In each drawer of the first box there is a gold there is silver watch. In one drawer of the third box there is
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