6. An ion channel can be in either open or closed states. If it is open, then it has probability 0.1 of5A, closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Suppose thatinitially 50% of ion channels are open and 50% are closed. What fraction is open after 1microsecond? after 2 microseconds?An individual can be either susceptible or infected, the probability of infection for a susceptible5Bperson is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day.Suppose that initially the population is 90% susceptible and 10% infected. What fraction issusceptible after 1 day? after 2 days?The genotype of an organism can be either normal (wild type) or mutant. Each generation, a wild5C'ype individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005of having a wild type offspring. Suppose that initially 0.9 of the population is wild type and 0.1 ismutant. What fraction of the population is wild type after 1 generation? After 2 generations?-. The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), andopen (0) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R),5D 0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Suppose thatinitially 3/4 of ion channels are in R and 1/4 are in C. What fraction of the ion channels is open after1 microsecond? After 2 microseconds?There are three kinds of vegetation in an ecosystem: grass, shrubs, and trees. Every year, 25% ofgrassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of trees are5Eonverted to shrubs, and 1% of trees are converted to grass; the other transition probabilities are 0.Suppose that initially the ecosystem is evenly split: 1/3 grass, 1/3 shrubs and 1/3 trees. Whatfraction of ecosystem is covered in shrubs after 1 year? after 2 years?

Name: 6. An ion channel can be in either open or closed states. If it is op
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Description: 6. An ion channel can be in either open or closed states. If it is open, then it has probability 0.1 of5A, closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Suppose thatinitially 50% of ion channels are open an

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An ion channel can be in either open or closed states. If it is open, then it has probability 0.1 of A¸ closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Suppose that initially 50% of ion channels are open and 50% are closed. What fraction is open after 1 microsecond? after 2 microseconds?

An ion channel can be in either open or closed states. If it is open, then it has probability 0.1 of A¸ closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Suppose that initially 50% of ion channels are open and 50% are closed. What fraction is open after 1 microsecond? after 2 microseconds?

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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