Questions: The probability of randomly selecting an aduit who recognices a particutar brand name is 0.79 . Describe a procedure for using a random digt generator to simulate the random selection of 50 aduit consumers. Each individual outcome should be an indication of one of two results: (1) The consumer recognizes the brand name; (2) the consumer does not recognize the brand name. Choose the correct answer below. A. Generate 50 random intogers from 1 to 100 . Let the integers 1 to 79 represent "recognizing the brand name," and let the other integens represent "not recognizing the brand name." Record the resuls. B. Generate 50 random integers from 1 to 10 . Let the integers trom 1 to 7 represent "recognizing the brand name," and let the integers 8 to 10 represent "not recognizing the brand name." Record the results. C. A random digil generator or random number generator cannot be used to simulate brand recognition. D. Let the decimal 0.79 represent "recognizing the brand name," and let any other decimal represent "not recognizing the brand name. "Generate random digts and record the resilts.

The probability of randomly selecting an aduit who recognices a particutar brand name is 0.79 . Describe a procedure for using a random digt generator to simulate the random selection of 50 aduit consumers. Each individual outcome should be an indication of one of two results: (1) The consumer recognizes the brand name; (2) the consumer does not recognize the brand name. Choose the correct answer below. A. Generate 50 random intogers from 1 to 100 . Let the integers 1 to 79 represent "recognizing the brand name," and let the other integens represent "not recognizing the brand name." Record the resuls. B. Generate 50 random integers from 1 to 10 . Let the integers trom 1 to 7 represent "recognizing the brand name," and let the integers 8 to 10 represent "not recognizing the brand name." Record the results. C. A random digil generator or random number generator cannot be used to simulate brand recognition. D. Let the decimal 0.79 represent "recognizing the brand name," and let any other decimal represent "not recognizing the brand name. "Generate random digts and record the resilts.
Transcript text: The probability of randomly selecting an aduit who recognices a particutar brand name is 0.79 . Describe a procedure for using a random digt generator to simulate the random selection of 50 aduit consumers. Each individual outcome should be an indication of one of two results: (1) The consumer recognizes the brand name; (2) the consumer does not recognize the brand name. Choose the correct answer below. A. Generate 50 random intogers from 1 to 100 . Let the integers 1 to 79 represent "recognizing the brand name," and let the other integens represent "not recognizing the brand name." Record the resuls. B. Generate 50 random integers from 1 to 10 . Let the integers trom 1 to 7 represent "recognizing the brand name," and let the integers 8 to 10 represent "not recognizing the brand name." Record the results. C. A random digil generator or random number generator cannot be used to simulate brand recognition. D. Let the decimal 0.79 represent "recognizing the brand name," and let any other decimal represent "not recognizing the brand name. "Generate random digts and record the resilts.
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Solution

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Solution Steps

To simulate the random selection of 50 adult consumers using a random digit generator, we need to generate 50 random integers and map them to the two possible outcomes based on the given probability. The correct approach is to generate random integers from 1 to 100, where integers 1 to 79 represent "recognizing the brand name" (since the probability is 0.79), and integers 80 to 100 represent "not recognizing the brand name."

Step 1: Generate Random Integers

We generate 50 random integers between 1 and 100. Each integer represents a consumer's response to recognizing the brand name.

Step 2: Map Integers to Outcomes

We map the integers to two outcomes based on the given probability:

  • Integers from 1 to 79 represent "recognize" (since \(0.79 \times 100 = 79\)).
  • Integers from 80 to 100 represent "not recognize".
Step 3: Analyze the Results

Given the generated integers: \[ \{93, 38, 71, 24, 8, 82, 90, 23, 44, 39, 11, 57, 18, 96, 17, 32, 14, 83, 47, 10, 21, 65, 56, 53, 92, 94, 86, 16, 56, 37, 38, 82, 20, 39, 82, 36, 85, 68, 43, 72, 73, 29, 21, 90, 82, 80, 13, 98, 4, 93\} \]

We map these integers to the outcomes: \[ \{\text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"not recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"not recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"recognize"}, \text{"not recognize"}, \text{"not recognize"} \}

Final Answer

The correct procedure for using a random digit generator to simulate the random selection of 50 adult consumers is: \[ \boxed{\text{A}} \]

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