Question

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.

(a) What is the probability there are 1,900 or fewer downloads of Amazon Alexa in a day? (Round your answer to four decimal places.)

(b) What is the probability there are between 1,400 and 2,400 downloads of Amazon Alexa in a day? (Round your answer to four decimal places.)

(c) What is the probability there are more than 2,900 downloads of Amazon Alexa in a day? (Round your answer to four decimal places.)

(d) Suppose that Google has designed its servers so there is 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 Google's servers designed to handle? (Round your answer to the nearest integer.) downloads per day

Answer #1

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...

You may need to use the appropriate appendix table to answer
this question.
Suppose that the mean daily viewing time of television is 8.35
hours. Use a normal probability distribution with a standard
deviation of 2.5 hours to answer the following questions about
daily television viewing per household
(a)
What is the probability that a household views television
between 5 and 12 hours a day? (Round your answer to four decimal
places.)
(b)
How many hours of television viewing must...

You may need to use the appropriate appendix table or technology
to answer this question.
Market-share-analysis company Net Applications monitors and
reports on internet browser usage. According to Net Applications,
in the summer of 2014, Google's Chrome browser exceeded a 20%
market share for the first time, with a 20.37% share of the browser
market.† For a randomly selected group of 20 Internet browser
users, answer the following questions. (Round your answers to four
decimal places.)
(a)
Compute the probability...

You may need to use the appropriate appendix table to answer
this question. Automobile repair costs continue to rise with the
average cost now at $367 per repair.† Assume that the cost for an
automobile repair is normally distributed with a standard deviation
of $88. Answer the following questions about the cost of automobile
repairs.
(a) What is the probability that the cost will be more than
$470? (Round your answer to four decimal places.)
(b) What is the probability...

You may need to use the appropriate appendix table to answer
this question. Television viewing reached a new high when the
Nielsen Company reported a mean daily viewing time of 8.35 hours
per household.† Use a normal probability distribution with a
standard deviation of 2.5 hours to answer the following questions
about daily television viewing per household.
(a) What is the probability that a household views television
between 3 and 11 hours a day? (Round your answer to four decimal...

You may need to use the appropriate appendix table or technology
to answer this question.
Although studies continue to show smoking leads to significant
health problems, 20% of adults in a country smoke. Consider a group
of 450 adults.
(b)What is the probability that fewer than 80 smoke? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)
(c)What is the probability that from 95 to 100 smoke? Use the
normal...

ou may need to use the appropriate appendix table or technology
to answer this question.
The port of South Louisiana, located along 54 miles of the
Mississippi River between New Orleans and Baton Rouge, is the
largest bulk cargo port in the world. The U.S. Army Corps of
Engineers reports that the port handles a mean of 4.5 million tons
of cargo per week.† Assume that the number of tons of cargo handled
per week is normally distributed with a...

You may need to use the appropriate appendix table to answer
this question.
The time needed to complete a final examination in a particular
college course is normally distributed with a mean of 80 minutes
and a standard deviation of 10 minutes. Answer the following
questions.
(a)What is the probability of completing the exam in one hour or
less? (Round your answer to four decimal places.)
(b)What is the probability that a student will complete the exam
in more than...

You may need to use the appropriate appendix table or technology
to answer this question. A population has a mean of 200 and a
standard deviation of 50. Suppose a sample of size 100 is selected
and x is used to estimate μ. (Round your answers to four decimal
places.)
(a) What is the probability that the sample mean will be within
±5 of the population mean?
(b) What is the probability that the sample mean will be within
±10...

You may need to use the appropriate appendix table or technology
to answer this question.
A center for medical services reported that there were 295,000
appeals for hospitalization and other services. For this group, 40%
of first-round appeals were successful. Suppose 10 first-round
appeals have just been received by a Medicare appeals office.
(Round your answers to four decimal places.)
(a)
Compute the probability that none of the appeals will be
successful.
(b)
Compute the probability that exactly one of...

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