Which of the following statements is true? (A) Events B and M are independent. (B) Events B and E are independent. (C) Events M and E are independent. (D) all of the above (E) none of the above

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Please provide thorough reasoning. Highlighted is the correct answer.

Suppose we have the following facts about customers at a supermarket:
• 60% buy bread (B).
• 55% buy milk (M).
• 45% buy eggs (E).
• 78% buy bread or eggs.
• 38% buy bread and milk.
• 30% buy milk and eggs.
• 19% buy all three items.
Which of the following statements is true?
(A) Events B and M are independent.
(B) Events B and E are independent.
(C) Events M and E are independent.
(D) all of the above
(E) none of the above
Transcribed Image Text:Suppose we have the following facts about customers at a supermarket: • 60% buy bread (B). • 55% buy milk (M). • 45% buy eggs (E). • 78% buy bread or eggs. • 38% buy bread and milk. • 30% buy milk and eggs. • 19% buy all three items. Which of the following statements is true? (A) Events B and M are independent. (B) Events B and E are independent. (C) Events M and E are independent. (D) all of the above (E) none of the above
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