Johnny carries out an experiment to study the lifespan of cockroach without water and food. At the end of day 0, he puts six cockroaches in different boxes respectively. On each day following, each cockroach has an equal chance to die with a probability of 0.5. What is the expected number of days until all six cockroaches die?

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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Johnny carries out an experiment to study the lifespan of cockroach without water and food.
At the end of day 0, he puts six cockroaches in different boxes respectively. On each day
following, each cockroach has an equal chance to d ie with a probability of 0.5.
What is the expected number of days until all six cockroaches die?
Transcribed Image Text:Johnny carries out an experiment to study the lifespan of cockroach without water and food. At the end of day 0, he puts six cockroaches in different boxes respectively. On each day following, each cockroach has an equal chance to d ie with a probability of 0.5. What is the expected number of days until all six cockroaches die?
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