Consider the stochastic process {Xn}, where Xn are a sequence of independent non-negative integer valued random variables defined by:

Xn={n, with probability 1 or 0, with probability 1-(1)}

a. Describe the random variables Xn, for n=1,2,3:

b. What is E[X2]? What is E[Xn]?

c. Comment on the behavior of Xn as n approaces infinity, what happens to the values of Xn and their associated probab

ECE 103 Engineering Programming Spring 2018 Primary Exercise In some lasers, the monochromatic light beam within the system has a Gaussian intensity (imradiance) profile (Figure 1). This occurs when the electromagnetic radiation's transverse electric and magnetic fields are described by a Gaussian function. Reference: https://en.wikipedia. org/wiki/Gaussian_bear Iniemily Figure 1: Gaussian intensity profile Interestingly, the physics states that the gainsjan beam will have a minimum "waist" we and then diverge due to diffraction (Figure 2).on a 7 -point Likert scale. A researcher investigates if the level of testosterone influences the level of risk taking behaviour among adolescents Risktaking behaviour is measured This is an example of: O Univariate statistics with testosterone as independent variable O Bivariate statistics with testosterone as independent variable O Univariate statistics with testosterone as depend Quiz Took O Bivariate statistics with testosterone as dependent variable1. Approximate the function f(x)= xe for values of x near 0 using the first three non- zero terms of its Taylor polynomial