Concept explainers
Google it: According to a report of the Nielsen Company, 76% of Internet searches used the Google search engine. Assume that a sample of 25 searches is studied.
What is the
What is the probability that 15 or fewer used Google?
What is the probability that more than 20 of them used Google?
Would it be unusual if fewer than 12 used Google?
(a)
To find: the probability of using Google exactly 20
Answer to Problem 31E
The probability of using Google exactly 20 is
Explanation of Solution
Given:
Users of Google = 76%
Sample study = 25
Formula used:
Probability of binomial distribution is calculated as
Calculation:
Here,
Probability of binomial distribution is,
Conclusion:
Therefore, the probability of using Google exactly 20is
(b)
To find: the probability of using Google 15 or fewer
Answer to Problem 31E
The probability of using Google 15 or feweris
Explanation of Solution
Given:
Users of Google = 76%
Sample study = 25
Formula used:
Probability of binomial distribution is calculated as
Calculation:
Here,
Probability of binomial distribution is,
Conclusion:
Therefore, the probability of using Google 15 or fewer is
(c)
To find: the probability of using Google more than 20
Answer to Problem 31E
The probability of using Google more than 20is
Explanation of Solution
Given:
Users of Google = 76%
Sample study = 25
Formula used:
Probability of binomial distribution is calculated as
Calculation:
Here,
Probability of binomial distribution is,
Conclusion:
Hence, the probability of using Google more than 20is
(d)
To explain: whether it is unusual if fewer than 12 used Google
Answer to Problem 31E
Yes, the probability would be unusual If fewer than 12 of them Google.
Explanation of Solution
Given:
Users of Google = 76%
Sample study = 25
Calculation:
Here,
Probability of binomial distribution is,
Therefore, the probability that fewer than 12 of them Google is
Yes, the probability would be unusual If fewer than 12 of them Google.
Because, the probability that fewer than 12 of them Google is (
Conclusion:
Yes, the probability would be unusual If fewer than 12 of them Google.
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