Write simple R codes that can solve the following problems. Copy the codes from your R script and paste it as part of your solution in a word document.    Let A be the vector (6, 7, 0, 9, 15), B be the vector (a, b, c, d, e), and C be the vector (-4, -1, -2, 0, -15).  Write the data frame whose columns are these vectors.

using matlab If the digits of π were random, then we would expect each of the integers  to occur with approximately equal frequency in the decimal representation of π. In this problem we are going to see if the digits of π do indeed appear to be random. The first line of your script stores the first 100 digits of π in the vector pi_digits. Create a  vector f50 such that f50(i) is equal to the frequency with which the integer i-1 appears among the first 50 digits of π. Execute the command bar(f50) to visualize the distribution of integers over the first 50 digits. Does the bar chart appear to suggest randomness? Create a  vector f100 such that f100(i) is equal to the frequency with which the integer i-1 appears among the first 100 digits of π. Execute the command bar(f100) to visualize the distribution over the first 100 digits. Note that Matlab Grader will only display one plot at a time, so your earlier plot will be overwritten here. Does this bar chart appear to suggest…

Suppose we have a two-dimensional vector [ U₁ U₂]. Select all the translations that would occur on the vector from the operation [ u₁, U2 ]-[-7, -5] 2 O Shift up Shift down Shift right Shift left O No horizontal shift No vertical shift