Final answer:
The measure used to determine the amount of traffic on a particular site is the number of page views. Therefore option e) is correct.
Step-by-step explanation:
To determine the measure used for the amount of traffic using a particular site, visits to blogs, or tweets about the site, the correct answer is page views. This term refers to the total number of times a page is viewed by visitors, which is a basic and common metric used in web analytics. In contrast, 'hits' can refer to any request made to the server, 'clicks' are the number of times any link is clicked, 'conversions' refer to the number of times a visitor completes a goal, and 'click paths' are the sequences of clicks made by a visitor.
Probability and Exponential Distribution:
In the given scenario where a website experiences traffic during normal working hours at a rate of 12 visits per hour, the probability and duration between visits can be modeled using exponential distribution. Let's solve the problems one by one:
- Probability of visit duration longer than 10 minutes: Since the mean rate of visits is 12 per hour, or one visit every 5 minutes, we use the exponential distribution function to determine the likelihood that more than 10 minutes will pass between visits, which is e^(-λt) where t is time in hours (10/60 hour for 10 minutes) and λ is the rate (12 visits per hour).
- The top 25 percent of durations between visits can be found by identifying the value of t that marks the 75th percentile in the cumulative distribution function of the exponential distribution.
- If it has been 20 minutes since the last visit, we need to calculate the conditional probability of the next visit occurring within the next 5 minutes, which also uses the properties of the exponential distribution.
- To find the probability of fewer than seven visits in a one-hour period, we would look at the cumulative distribution function up to the sixth visit.