A single cell can either die, with probability0.1, or split into two cells, withprobability0.90, producing a new generation of cells. Each cell in the secondgeneration dies or splits into two cells independently with the same probabilitiesas the initial cell. Find the probability distribution for the number of cells inthe third generation.

Question

Shannon

Mathematics

26 June, 14:33

A single cell can either die, with probability0.1, or split into two cells, withprobability0.90, producing a new generation of cells. Each cell in the secondgeneration dies or splits into two cells independently with the same probabilitiesas the initial cell. Find the probability distribution for the number of cells inthe third generation.

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Semaj Pope · Answer 1

Answer: The probability distribution for the number of cells in the third generation is a Binomial distribution.

Step-by-step explanation:

We use binomial distribution when we have repeated process and the outcome is either a success or a failure.

The probability of success. P (probability of dying). The probability of failure q (probability of splitting into two).

The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.