An occasion coordinator is arranging a program for a gathering of 20 individuals who need to set out on a touring trip. Because of space imperative at the offices to be visited the association segment the gathering into five non-void subgroups.the number of individuals in the subgroup may change starting with one subgroup then onto the next.

(1) the number of various parcels are there for the coordinator ?

(2) what number diverse parcel are there if the subsequent subgroup is comprised of 4 individuals ?.

(3) what number diverse parcel are there if the fouth subgroup is comprised of 6 individuals ?

(4) what number diverse segment are there if the second and fouth subgroups have 4 and 6 individuals separately ?

(5) The coordinator picks a parcel of individuals at arbitrary .Find the likelihood that the quantity of individuals in the second and fouth subgroups of the picked segment are not 4 and 6 separately.

4. Vehicles arrive at a car wash station according to the Poisson process An average of 2,5 vehicles per hour arrive at this car wash station If the washing in the parking orea washing a vehicle takes an average of 12.5 minutes, and the washing Times of the vehicles correspond to the exponential distribution? a-) Express the process as a birth-death process, draw a transition rate diagram. Determine the rode of "birth" and the rate of "death" b) what are the chances that the system is empty? (-) what are the chances of up to 2 cars at the car wash station? 1-) what are the chances of an incoming vehicle waiting?4. Which is true of the Gaussian function? a. One way of computing the derivative of noisy signal is to smooth with a Gaussian before taking the derivative. Now, because differentiation and convolution are both linear operators we can invert their order and thereby compute the derivative of the smoothed signal by simply convolving the raw signal with the derivative of a Gaussian. b. Gaussian filtering in 2D can be decomposed into two 10 Gaussian filtering operations. c. Convolution of a signal with a Gaussian filter in the spatial domain equates with multiplication of the Fourier transform of the signal with the Fourier transform of the Gaussian (which is a Gaussian also) in k-space. d. A Gaussian filter acts as a low-pass filter. e. All of the above are true.Name: Population Growth Assignment In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. 1. Estimate r (per capita rate of increase) | We know that there are 400 births in the population over the month, in our population of 3,000 individuals; we can express this as a rate by doing the following: Birth rate = 400/3000 = births/(individual per month) Death rate = /3000 = deaths/(individual per month) r = birth rate - death rate =