Alexa is the popular virtual assistant developed by amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to preform daily tasks such as making to do lists, reporting the news and weather, and interacts with other smart devises in the home. I'm 2018, the amazon Alexa app was downloaded some 2800 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 2800 and a standard deviation of 860. A) what is the probability there are 2100 or fewer downloads of amazon Alexa in a day? ( round your answer to 4 decimal places) B) what is the probability there are between 1400 and 2600 downloads of amazon Alexa in a day? (Round your answer 4 decimal places) C) what is the probability there are more than 2900 downloads of amazon Alexa in a day? (Round your answer 4 decimal places) D) suppose that google has designed its servers so there is a probability 0.02 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 googled servers designed to handle? (Round your answer to the nearest integer)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Alexa is the popular virtual assistant developed by amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to preform daily tasks such as making to do lists, reporting the news and weather, and interacts with other smart devises in the home. I'm 2018, the amazon Alexa app was downloaded some 2800 times per day from the google play store. Assume that the number of downloads per day of the amazon Alexa app is
A) what is the
B) what is the probability there are between 1400 and 2600 downloads of amazon Alexa in a day? (Round your answer 4 decimal places)
C) what is the probability there are more than 2900 downloads of amazon Alexa in a day? (Round your answer 4 decimal places)
D) suppose that google has designed its servers so there is a probability 0.02 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 googled servers designed to handle? (Round your answer to the nearest integer)
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