Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours is a good model for rainfall duration. (a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places.) at least 2 hours 0.4735 at most 3 hours 0.6742 between 2 and 3 hours 0.1477 (b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.) 0.0067 What is the probability that it is less than the mean value by more than one standard deviation? 0.8646

Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours is a good model for rainfall duration. (a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places.) at least 2 hours 0.4735 at most 3 hours 0.6742 between 2 and 3 hours 0.1477 (b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.) 0.0067 What is the probability that it is less than the mean value by more than one standard deviation? 0.8646

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 42E

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