**Educational Webpage: Understanding Probability and Normal Distribution with Amazon Alexa**---**Context:**Amazon's Alexa is a widely used virtual assistant that leverages artificial intelligence and voice recognition to interact with users. It assists with multiple daily tasks, from creating to-do lists to providing news updates and interfacing with smart home devices. In 2018, data from the Google Play store indicates that the Amazon Alexa app was downloaded approximately 2,800 times daily. For statistical analysis, assume that these downloads are normally distributed with a mean (average) of 2,800 downloads per day and a standard deviation of 860.---**Problems and Solutions:****a. Probability of 2,000 or Fewer Downloads**- **Question:** What is the probability that there are 2,000 or fewer downloads of Amazon Alexa in a day? Express this probability to four decimal places.- **Answer Box:****b. Probability Between 1,500 and 2,500 Downloads**- **Question:** What is the probability that there are between 1,500 and 2,500 downloads of Amazon Alexa in a day? Express this probability to four decimal places.- **Answer Box:****c. Probability of More Than 3,000 Downloads**- **Question:** What is the probability that there are more than 3,000 downloads of Amazon Alexa in a day? Express this probability to four decimal places.- **Answer Box:****d. Server Capacity Planning**- **Question:** Assume Google has designed its servers such that there is a 0.01 probability that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity, necessitating additional servers. How many downloads per day are Google's servers designed to handle? Provide the nearest whole number.- **Answer Box:**---This problem set encourages students to apply concepts of probability, normal distribution, and statistical reasoning to real-world scenarios, fostering a deeper understanding of data interpretation and decision-making based on statistical analysis.

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Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In 2018, the Amazon Alexa app was downloaded some 2,800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2,800 and standard deviation of 860. a. What is the probability there are 2,000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? b. What is the probability there are between 1,500 and 2,500 downloads of Amazon Alexa in a day (to 4 decimals)? c. What is the probability there are more than 3,000 downloads of Amazon Alexa in a day (to 4 decimals)? d. Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?

Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In 2018, the Amazon Alexa app was downloaded some 2,800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2,800 and standard deviation of 860. a. What is the probability there are 2,000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? b. What is the probability there are between 1,500 and 2,500 downloads of Amazon Alexa in a day (to 4 decimals)? c. What is the probability there are more than 3,000 downloads of Amazon Alexa in a day (to 4 decimals)? d. Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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