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 thant days as P(T > t) = - t> 0. (6+t)* 36 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 thant days as P(T > t) = - t> 0. (6+t)* 36 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

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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