Question
\( 79 \% \) of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions bel Find the mean of the binomial distribution. \( \mu=\square \) (Round to the nearest tenth as needed.)
Ask by Reese Reese. in the United States
Jan 21,2025
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Tutor-Verified Answer
Answer
The mean of the binomial distribution is 4.7.
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Beyond the Answer
To calculate the mean of a binomial distribution, you can use the formula: \[ \mu = n \times p \] Where \( n \) is the number of trials (in this case, the number of adults surveyed), and \( p \) is the probability of success (the probability that an adult thinks political correctness is a problem). Here, \( n = 6 \) and \( p = 0.79 \). Calculating this: \[ \mu = 6 \times 0.79 = 4.74 \] Rounding to the nearest tenth, the mean \( \mu \) is: \[ \mu = 4.7 \]
