The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking the probability that a butterfly survives for more than t days as 36 P(T > t) = For these problems, please ensure your answers are accurate to within 3 decimals. Part a) What is the probability that a butterfly will die within 6 days of emerging? Part b) If a large number of butterflies emerge on the same day, after how many days would you expect only 6 % to be alive? Part c) Calculate the mean lifetime of a butterfly after emerging from its chrysalis.
The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking the probability that a butterfly survives for more than t days as 36 P(T > t) = For these problems, please ensure your answers are accurate to within 3 decimals. Part a) What is the probability that a butterfly will die within 6 days of emerging? Part b) If a large number of butterflies emerge on the same day, after how many days would you expect only 6 % to be alive? Part c) Calculate the mean lifetime of a butterfly after emerging from its chrysalis.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Question
![The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking the probability that a butterfly
survives for more than t days as
36
P(T >t)
GE7, t>0.
(6+t)² »
For these problems, please ensure your answers are accurate to within 3 decimals.
Part a)
What is the probability that a butterfly will die within 6 days of emerging?
Part b)
If a large number of butterflies emerge on the same day, after how many days would you expect only 6 % to be alive?
Part c)
Calculate the mean lifetime of a butterfly after emerging from its chrysalis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90bab89a-83f9-4723-b8fc-a929af0c25df%2Fe8a0295c-330f-4fd7-a2e7-9302b0dd7e65%2Fk5443rq_processed.png&w=3840&q=75)
Transcribed Image Text:The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking the probability that a butterfly
survives for more than t days as
36
P(T >t)
GE7, t>0.
(6+t)² »
For these problems, please ensure your answers are accurate to within 3 decimals.
Part a)
What is the probability that a butterfly will die within 6 days of emerging?
Part b)
If a large number of butterflies emerge on the same day, after how many days would you expect only 6 % to be alive?
Part c)
Calculate the mean lifetime of a butterfly after emerging from its chrysalis.
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