An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The problem involves finding the distribution of the sample mean and sum of scores, calculating probabilities, and finding percentiles. The Central Limit Theorem and standardization techniques are used to solve the problem. The final answers are provided in the \boxed{} notation.
Explanation
Understand the problem and provided data We are given the average score for games played in the NFL, which is μ = 21.2 , and the standard deviation, which is σ = 9 . We are also given that 48 games are randomly selected, so n = 48 . We are asked to find several probabilities and percentiles related to the sample mean and the sum of the scores, assuming a normal distribution.
Examples
Understanding the distribution of average scores in NFL games can help analysts predict the likelihood of certain score ranges occurring in a season, informing betting strategies or evaluating team performance against historical averages. For example, knowing the distribution allows calculating the probability of a team's average score exceeding a certain threshold, which can be used to assess their offensive consistency.
A device delivering a current of 15.0 A for 30 seconds allows 450 Coulombs of charge to flow. This charge corresponds to approximately 2.81 × 1 0 21 electrons. The calculation involved using the relationship between current, charge, and the charge of a single electron.
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