5b'. The genotype of an organism can be either normal (wild type) or mutant. Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring. 5C3. A gene is is either expressed (On) or not expressed (Off) by a stochastic mechanism. In the On state, it has probability 0.3 per minute of turning off, and in the Off state, it has probability 0.02 per minute of turning on. 5d. The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and open (O) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R), 0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0.
5b'. The genotype of an organism can be either normal (wild type) or mutant. Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring. 5C3. A gene is is either expressed (On) or not expressed (Off) by a stochastic mechanism. In the On state, it has probability 0.3 per minute of turning off, and in the Off state, it has probability 0.02 per minute of turning on. 5d. The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and open (O) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R), 0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0.
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:This question is not missing anything and previous
ones were answered! I'm just submitting additional
parts.
For the following:
a) write down the transition matrix M; b) find the stationary probability
distribution on paper;
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5b'. The genotype of an organism can be either normal (wild type) or mutant. Each generation, a wild
type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005
of having a wild type offspring.
5C3. A gene is is either expressed (On) or not expressed (Off) by a stochastic mechanism. In the On state,
it has probability 0.3 per minute of turning off, and in the Off state, it has probability 0.02 per minute
of turning on.
5d. The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and
open (O) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R),
0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0.
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