Extinct in the second generation

Reference no: EM13985333

1. Suppose that X is a nonnegative, integer-valued random variable, and let n and m be nonnegative integers. Show that gnX+m(t) = tm · gX (tn).

2. Suppose that the offspring distribution in a branching process is the Ge(p)- distribution, and let X(n) be the number of individuals in generation n, n = 0, 1, 2, . . . .

(a) What is the probability of extinction?

(b) Find the probability that the population is extinct in the second generation.

Reference no: EM13985333

Questions Cloud

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.

Determine the expected value and variance : 1. Philip throws a fair die until he obtains a four. Diane then tosses a coin as many times as Philip threw his die. Determine the expected value and variance of the number of

Probability of a bull-eye : Lisa shoots at a target. The probability of a hit in each shot is 1/2. Given a hit, the probability of a bull's-eye is p. She shoots until she misses the target. Let X be the total number of bull's-eyes Lisa has obtained when she has finished shoo..

User Account

All Pages