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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 ( Forbes website, December 15, 2014). For a randomly selected group of 20 Internet browser users, answer the following questions. a. Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser. b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser. c. For the sample of 20 Internet browser users, compute the expected number of Chrome users. d. For the sample of 20 Internet browser users, compute the variance and standard deviation for the number of Chrome users.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter
Section
BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 5.5, Problem 39E
Textbook Problem
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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 (Forbes website, December 15, 2014). For a randomly selected group of 20 Internet browser users, answer the following questions.

  1. a. Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.
  2. b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser.
  3. c. For the sample of 20 Internet browser users, compute the expected number of Chrome users.
  4. d. For the sample of 20 Internet browser users, compute the variance and standard deviation for the number of Chrome users.

a.

To determine

Find the probability that exactly 8 of the 20 Internet browser users use chrome as their internet browser.

Explanation of Solution

Calculation:

A random sample of 20 Internet browser users is selected. The percentage share of the browser market is 20.37% for google chrome.

Define the random variable x as the number of internet browsers who use google chrome. Here, a random sample (n) of 20 Internet browser users is selected is taken. Each Internet browser user is independent of the other. Also, there are two possible outcomes, the Internet browser user uses google chrome or not (success or failure). It was found that 20.37% of the Internet browser users use google chrome. Thus, the probability of success (p) is 0.2037. Thus, x follows binomial distribution.

The probability of obtaining x successes in n independent trails of a binomial experiment is,

f(x)=(nx)px(1p)nx,x=0,1,2,...,n

Where, p is the probability of success.

Substitute values n=20 and p=0.2037 in the above equation. Then,

f(x)=(20x)(0

b.

To determine

Find the probability that at least 3 of the 20 Internet browser users use chrome as their internet browser.

c.

To determine

Compute the expected number of chrome users.

d.

To determine

Compute the variance and standard deviation for the number of chrome users.

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Chapter 5 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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