Exhibit 6-3.Patients scheduled to see their primary care physician at a particular hospital wait,on average,an additional eight minutes after their appointment is scheduled to start.Assume the time that patients wait is exponentially distributed. Refer to Exhibit 6-3.What is the probability a randomly selected patient will see the doctor within five minutes of the scheduled time?
A)0.2019
B)0.4647
C)0.5353
D)0.7981

Question

Quizplus · Accepted Answer

We can use the exponential distribution formula with a mean of 8 minutes:

P(X ≤ 5) = 1 - e^(-5/8) ≈ 0.4647

Therefore, the probability that a randomly selected patient will see the doctor within five minutes of the scheduled time is 0.4647 or approximately 46.47%. Thus, the best choice is B.