In 2018 it was estimated that approximately $45 \%$ of the American population watches the Super Bowl yearly. Suppose a sample of 120 Americans is randomly selected. After verifying the conditions for the Central Limit Theorem are met, find the probability that at the majority (more than $50 \%$ ) watched the Super Bowl. (Source: vox.com).
Added by Ignacio S.
Step 1
First, we need to define our random variable. Let's denote X as the number of people in our sample who watch the Super Bowl. Since we're sampling from a population, X follows a binomial distribution with parameters n = 120 (the size of the sample) and p = 0.45 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Ameer Said and 76 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In 2018 it was estimated that approximately 46% of the American population watches the Super Bowl yearly. Suppose a sample of 126 Americans is randomly selected. After verifying the conditions for the Central Limit Theorem are met, find the probability that the majority (more than 50%) watched the Super Bowl. First, verify that the conditions of the Central Limit Theorem are met. The Random and Independent condition holds assuming independence. The Large Samples condition holds. The Big Populations condition can reasonably be assumed to hold. The probability is . (Type an integer or decimal rounded to three decimal places as needed.)
Juan N.
In 2018, it was estimated that approximately 39% of the American population watches the Super Bowl yearly. Suppose a sample of 124 Americans is randomly selected. After verifying that the conditions for the Central Limit Theorem are met, find the probability that the majority (more than 50%) watched the Super Bowl. First, verify that the conditions of the Central Limit Theorem are met: 1. The Random and Independent condition holds, assuming independence. 2. The Large Samples condition holds. 3. The Big Populations condition can reasonably be assumed to hold. Find the probability (Type an integer or decimal rounded to three decimal places as needed).
Qudsiya A.
Television Ratings According to a ratings survey, 40$\%$ of the households in a certain city tune in to the local evening TV news. If ten households are visited at random, what is the probability that four of them will have their television tuned to the local news?
Counting and Probability
Binomial Probability
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD