Questions: A poll showed that 59.5% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life? Probability = % (Please round your answer to one decimal place.)

A poll showed that 59.5% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life? Probability = % (Please round your answer to one decimal place.)
Transcript text: Chapter 3: Probability (concepts, simple, complements, ME, and Independence) Score: 9.92/15 Answered: 11/15 Question 13 A poll showed that 59.5\% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life? Probability = \_\_\_\_\% (Please round your answer to one decimal place.)
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Solution

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Solution Steps

Step 1: Understand the Given Information

A poll shows that 59.5% of Americans believe that statistics teachers know the true meaning of life.

Step 2: Identify the Complement

We need to find the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. This is the complement of the given probability.

Step 3: Calculate the Complement Probability

The probability of the complement event is calculated as: \[ P(\text{not believing}) = 1 - P(\text{believing}) \] \[ P(\text{not believing}) = 1 - 0.595 \] \[ P(\text{not believing}) = 0.405 \]

Final Answer

The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.4 (rounded to one decimal place).

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