part 4b Question 4.4(a) Let X1,...,Xx be iid random variables from a Binomial distribution with n=4 and p=0.1. LetX = E X,. Find the exact value of P(X S np) for the following values of k: 10, 50, 100. Repeatthis with n=50 and then n=100. Tabulate your results in a well-labeled 3-by-3 table, where the rowsrepresent the values of k, the columns having the values of n, and the cells of the table having thecorresponding probabilities. To get points, make sure to show your work clearly (as to howyouarrivedat your answers).4(b) Repeat Part 4(a) above, once with p=0.25 and another time with p3D0.50.4(c) (Approrimation via the Central Limit Theorem (CLT)1Refer back to the setup of Parts 4(a) and 4(b), and generate N =10000 values of X for each set ofvalue of k, n, and p. (You don't need to report your actual 10000 values of X).4(c)(i) Obtain the histograms of these 27 sets of simulated valu. You can (and should) have 9 plotsper page: The following command tells 'R' to put 9 plots on each page: par (mfrow=c(3,3)). Submityour well-labeled plots; you should have 3 pages of plots with 9 per page (see the R examples postedon Canvass). For which values of p, k, and n are the corresponding histograms closer to a normal(bell-shaped) distribution? Comment:Your comments/answer:

Hello, thank you for the question, As you have mentioned question number 4b, answering only that…

Answered: 4(b) Repeat Part 4(a) above, once with…

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...