StatisticsdrillContinuous uniform: between two values
A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.
The task
The time a courier takes to reach a downtown customer is equally likely to be any value between 10 and 60 minutes (a continuous uniform distribution). What is the probability that it is between 43.5 and 52.5 minutes? Round to 4 decimal places.
What this problem teaches
The density is flat at 1 / (b - a), so the area over an interval is its length times that height. For a continuous variable, between and strictly between give the same probability.
A hint if you get stuck
For a uniform distribution, probability is proportional to length: P(c < X < d) = (d - c) / (b - a).
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