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In order to gauge the effectiveness of the OHaganBooks.com site, you recently commissioned a survey of online shoppers. According to the results, 2% of online shoppers visited OHaganBooks.com during a one-week period, while 5% of them visited at least one of OHaganBooks.com’s two main competitors: JungleBooks.com and FarmerBooks.com. Use this information to answer. Assuming that visiting OHaganBooks.com was independent of visiting a competitor, what percentage of online shoppers visited either OHaganBooks.com or a competitor?
Solution
VerifiedDenote the events as follows:
We are given the following information:
Also, and are said to be independent which means that .
We want to find the percentage of online shoppers that visited either OHaganBooks.com or a competitor i.e. we want to find . Using the addition principle for probabilities, we get
Therefore, 6.9% of online shoppers visited either OHaganBooks.com or a competitor.
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