Ecologists often use the number of reported sightings of a rare species of animal to estimate the remaining population size. Suppose that the number of reported sightings per week of blue whales follows a Poisson distribution with a mean of 3 per week. Find the probability that the time between consecutive sightings is between 1 and 2 weeks. Give your answer to 3 decimal places. Suppose that the amount of hydrocarbon emission for a four cylinder engine can be modeled with a Weibull distribution with a = 2 and 3 = 10. Find the probability that the emissions level is no more than 10 given that it is at least 5. Give your answer to 3 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Ecologists often use the number of reported sightings of a rare species of animal to estimate the
remaining population size. Suppose that the number of reported sightings per week of blue whales
follows a Poisson distribution with a mean of 3 per week. Find the probability that the time between
consecutive sightings is between 1 and 2 weeks. Give your answer to 3 decimal places.
Suppose that the amount of hydrocarbon emission for a four cylinder engine can be modeled with a
Weibull distribution with a = 2 and B = 10. Find the probability that the emissions level is no more
than 10 given that it is at least 5. Give your answer to 3 decimal places.
Transcribed Image Text:Ecologists often use the number of reported sightings of a rare species of animal to estimate the remaining population size. Suppose that the number of reported sightings per week of blue whales follows a Poisson distribution with a mean of 3 per week. Find the probability that the time between consecutive sightings is between 1 and 2 weeks. Give your answer to 3 decimal places. Suppose that the amount of hydrocarbon emission for a four cylinder engine can be modeled with a Weibull distribution with a = 2 and B = 10. Find the probability that the emissions level is no more than 10 given that it is at least 5. Give your answer to 3 decimal places.
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