# Question: Suppose N1is a discrete random variable equally likely to take

Suppose N1is a discrete random variable equally likely to take on any integer in the set {1, 2, 3}. Given that, N1 = n1, the random variable N2 is equally likely to take on any integer in the set {1, 2… n2}. Finally, given that N2 = n2, the random variable is equally likely to take on any integer in the set {1, 2… n2}.

(a) Find the two- dimensional joint PMF, P N1, N2 (n1, n2).

(b) Find the three- dimensional joint PDF, PN1, N2, N3 (n1, n2, n3).

(c) Find the marginal PDFs, PN2 (n2) and PN3 (n3).

(a) Find the two- dimensional joint PMF, P N1, N2 (n1, n2).

(b) Find the three- dimensional joint PDF, PN1, N2, N3 (n1, n2, n3).

(c) Find the marginal PDFs, PN2 (n2) and PN3 (n3).

## Answer to relevant Questions

Let represent a three- dimensional vector of random variables that is uniformly distributed over the unit sphere. That is, (a) Find the constant c. (b) Find the marginal PDF for a subset of two of the three random ...Consider a sequence of IID random variables, Xn n = 1, 2, 3… each with CDF FXn (x) FX (x) 1– Q (x –µ/ σ). This sequence clearly converges in distribution since FXn (x) is equal to FX (x) for all n. Show that this ...Suppose, X1, X2, Xn, is a sequence of IID positive random variables. Define Show that as n →∞, yn converges in distribution, and find the distribution to which it converges. A communication system transmits bits over a channel such that the probability of being received in error is ρ = 0.02. Bits are transmitted in blocks of length 1023 bits and an error correction scheme is used such that bit ...A political polling firm is conducting a poll in order to determine which candidate is likely to win an upcoming election. The polling firm interviews likely voters and asks each whether or not they will vote for the ...Post your question