Write a matlab script to find the pdf for a random variable which is the sum of 10 of these identically distributed random random variables. Compare the result with what is predicted by the central limit theorem. Your output for this portion of the problem should be your matlab script, its output and plots of the output and the central limit theorem prediction.

For each of the following claims, determine whether they are true or false. justify your determination (show your work). if the claim is false, state the correct asymptotic relationship as o, θ, or ω. unless otherwise specified, lg is log2.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j)n+1 =22n =2n =1 =ln2 n =n2 +2n−4 =33n = 2n+1 =√n = 10100 =o(n4) o(2n)θ(2n+7 ) o(1/n)θ(lg2 n) ω(n2 )θ(9n ) θ(2n lg n )o(lg n) θ(1)

Give an example of a case where a two-way handshake to establish a connection could leave one side of the connection live while the other side does not believe there is a connection.

The isometric projection camera technique provides an illusion of perspective by using things like parallax scrolling to create the illusion of 3d in a 2d game