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The store clerk is surprised when 3 of the friends win a prize. Is this group of friends just lucky, or is the company's 1-in-6 claim inaccurate? Find the probability that at least 3 of a group of 7 friends would win a prize and use the result to justify your answer.

The store clerk is surprised when 3 of the friends win a prize. Is this group of friends just lucky, or is the company's 1-in-6 claim inaccurate? Find the probability that at least 3 of a group of 7 friends would win a prize and use the result to justify your answer.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 2RP: A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and...
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7. Please try again As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each cap. Some of the caps said, "Please try again," while others said, "You're a winner!" The company advertised the promotion with the slogan “1 in 6 wins a prize." Suppose the company is telling the truth and that every 20-ounce bottle of soda it fills has a 1-in-6 chance of being a winner. Seven friends each buy one 20-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize. The probability distribution of X is shown here. 4 5 6 Winners 0 1 2 3 7 Probability 0.2791 0.3907 0.2344 0.0781 0.0156 0.0019 0.0001 0.000004 The store clerk is surprised when 3 of the friends win a prize. Is this group of friends just lucky, or is the company's 1-in-6 claim inaccurate? Find the probability that at least 3 of a group of 7 friends would win a prize and use the result to justify your answer.
Transcribed Image Text:7. Please try again As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each cap. Some of the caps said, "Please try again," while others said, "You're a winner!" The company advertised the promotion with the slogan “1 in 6 wins a prize." Suppose the company is telling the truth and that every 20-ounce bottle of soda it fills has a 1-in-6 chance of being a winner. Seven friends each buy one 20-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize. The probability distribution of X is shown here. 4 5 6 Winners 0 1 2 3 7 Probability 0.2791 0.3907 0.2344 0.0781 0.0156 0.0019 0.0001 0.000004 The store clerk is surprised when 3 of the friends win a prize. Is this group of friends just lucky, or is the company's 1-in-6 claim inaccurate? Find the probability that at least 3 of a group of 7 friends would win a prize and use the result to justify your answer.
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