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Description: You may need to use the appropriate appendix table to answer this question. 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 ta

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You may need to use the appropriate appendix table to answer this question. 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.† 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.

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)?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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