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Let X denote the distance (m) that an animal moves from ts bath ste to the first tetonal vacancy it encounters Suppose that for banner taled (4) What probability that the distance is at most 100 m? At most 200 m Between 100 and 200 m) [Round your ars four decimal places) 100 and 200m (What the value of the median dance? Dond your art decals) kangaroo rats, X has an exponen

Let X denote the distance (m) that an animal moves from ts bath ste to the first tetonal vacancy it encounters Suppose that for banner taled (4) What probability that the distance is at most 100 m? At most 200 m Between 100 and 200 m) [Round your ars four decimal places) 100 and 200m (What the value of the median dance? Dond your art decals) kangaroo rats, X has an exponen

Calculus For The Life Sciences
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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Subject: calculus 

 

Let X denote the distance (m) that an animal moves from its birth site to the first territonal vacancy it encounters Suppose that for banner tailed kangaroo rats, X has an exponential distribution with parameter 2-0.01377 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places) at most 100 m am 200m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your armer to four decimal places) (What is the value of the median distance? (Round your answer to two decimal places)
Transcribed Image Text:Let X denote the distance (m) that an animal moves from its birth site to the first territonal vacancy it encounters Suppose that for banner tailed kangaroo rats, X has an exponential distribution with parameter 2-0.01377 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places) at most 100 m am 200m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your armer to four decimal places) (What is the value of the median distance? (Round your answer to two decimal places)
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