In a study of wait at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes. If 14 days are randomly selected, find the probability that the mean wait time is between 10 & 20 minutes.
A: 0.9693
B: 0.0471
C: 0.6713
D: 0.9470
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