We can use the empirical rule (also called 68-95-99.7 rule) to evaluate the percentage of people.
99.7% of people should be sen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.
Thus, Option D: 99.7% is correct.
<h2>Given that:</h2>
- The typical time interval of wait time is 17 minutes.
- The standard deviation for wait time is 2 minutes.
<h3>To find:</h3>
Percentage of people that are to be seen by the Doctor for the distribution of wait time to be considered normal distribution.
<h3>What is empirical rule for normal
distribution?</h3>
If (that means, X pertains normal distribution with mean and standard deviation ), then we have:
Let X be the random variable tracking the wait time (in minutes) by patients for checkup.
Then we have by given data:
Thus,
The given limits are 11 and 23 minutes or
Thus, the percentage can be calculated by empirical rule as follows:
where .
Thus, 99.7% of people should be sen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.
Thus, Option D: 99.7% is correct.
Learn more about empirical rule here:
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