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 P(T> t) = 36 (6+1)² t≥ 0. 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 8 days of emerging? Part b) If a large number of butterflies emerge on the same day, after how many days would you expect only 8 % 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 P(T> t) = 36 (6+1)² t≥ 0. 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 8 days of emerging? Part b) If a large number of butterflies emerge on the same day, after how many days would you expect only 8 % to be alive? Part c) Calculate the mean lifetime of a butterfly after emerging from its chrysalis.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
P(T > t) =
36
(6+1)²5
t≥ 0.
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 8
days of emerging?
Part b)
If a large number of butterflies emerge on the same
day, after how many days would you expect only 8 %
to be alive?
Part c)
Calculate the mean lifetime of a butterfly after
emerging from its chrysalis.
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