Determine the maximal initial size of the population

Reference no: EM13985335

The growth dynamics of pollen cells can be modeled by binary splitting as follows: After one unit of time, a cell either splits into two or dies. The new cells develop according to the same law independently of each other. The probabilities of dying and splitting are 0.46 and 0.54, respectively.

(a) Determine the maximal initial size of the population in order for the probability of extinction to be at least 0.3.

(b) What is the probability that the population is extinct after two gener- ations if the initial population is the maximal number obtained in (a)?

Reference no: EM13985335

Questions Cloud

Define michelle objectives and opening bids : Define the resistance points. Define Michelle's alternatives and select a BATNA. Define Michelle's objectives (targets) and opening bids (where to start)

Find the distribution of y : (a) Find the distribution of Y. (b) Determine the probability of extinction.

What is the average induced emf : A 5.4 cm diameter circular loop of wire is in a 0.72 T magnetic field. The loop is removed from the field in 0.29 s . Assume that the loop is perpendicular to the magnetic field. Part A What is the average induced emf? Express your answer using tw..

Determine the value of the potential difference : From the information above, determine the value of the potential difference through which the atom was accelerated.

Determine the maximal initial size of the population : Determine the maximal initial size of the population in order for the probability of extinction to be at least 0.3.

Identify at least three constraints on the decision : Using a consequence table, scoring model with proportional scores (100 - 0) and weighted scoring model, evaluate the alternatives based upon weighted objectives. Show all three tables for full credit (you can separate items in your tables with spa..

Extinct in the second generation : (a) What is the probability of extinction? (b) Find the probability that the population is extinct in the second generation.

How much charge is stored on each capacitor : Part A In the figure (Figure 1) , if C1 = C2 = 2C3 = 27.5 μF, how much charge is stored on each capacitor when V = 47.0V?

Expectation and variance of the total number : The correlation coefficient between the number of casualties and the number of deaths per accidents is 0.5. Compute the expectation and variance of the total number of deaths and casualties during a year.

User Account

All Pages