Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 2.34 days (note that times are measured continuously, not just in number of days). A random sample of 144 shipments are selected and their shipping times are observed.Approximate the probability that the average shipping time is less than 2.05 days. Hint: Transform an exponential random variable to a standard normal random variable.  Enter your answer as a number accurate to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 2.34 days (note that times are measured continuously, not just in number of days). A random sample of 144 shipments are selected and their shipping times are observed.
Approximate the probability that the average shipping time is less than 2.05 days.

Hint: Transform an exponential random variable to a standard normal random variable.

 Enter your answer as a number accurate to 4 decimal places.

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