## Solution for problem 3.8 Chapter 3

# A single cell can either die, with probability .1, or split into two cells, with

Mathematical Statistics with Applications | 7th Edition

A single cell can either die, with probability .1, or split into two cells, with probability .9, producing a new generation of cells. Each cell in the new generation dies or splits into two cells independently with the same probabilities as the initial cell. Find the probability distribution for the number of cells in the next generation.

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Statistics 200 Week One Notes Writing in red are examples of ways to remember what terms go together and what the terms mean. Writing in green are examples of the terms. Chapter One and Two Terms Statistics: The science of learning from data Quantitative Data: Data that is numerical (Quantity = Numbers) Qualitative Date: Data that is categorical (Quality = Category) Inferential Statistics: Methods of drawing conclusions about a population based on information from a sample of the population (Infer = Draw Conclusions) The Six W’s: Who, What, When, Where, Why, and How o Who: Describes the thing that is surveyed o What: Describes the specific characteristics of the who that are measure

###### Chapter 3, Problem 3.8 is Solved

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A single cell can either die, with probability .1, or split into two cells, with