You are building a simulation and need to generate X ~ unif[430.65, 841.35]. Given the following U ~ unif[0,1], calculate the corresponding values of X: U = {0.9953,0.4267,0.7192} Note: the following should help if you are using R. U: 0.9953, 0.4267, 0.7192 Please enter your answers to four decimal places: U1= 0.9953 => X1 =       U2=0.4267 => X2 = U3=0.7192 => X3=

Write a program in java using two dimensional arrays. You should prompt the user toenter the number of rows and columns for your matrix. You should then prompt the userto enter values for each element of the matrix. Once the user has provided all the values for matrix, you should print the matrix and transpose of that matrix. A transpose of a matrix converts rows to columns and columns to rows.Example:Output: This program transposes a matrix.Output: Please enter the number of rows:User enters 2Output: Please enter the number of columns:User enters 3Enter value for row[0] column[0]: 9Enter value for row[0] column[1]: 1Enter value for row[0] column[2]: 2Enter value for row[1] column[0]: 72Enter value for row[1] column[1]: 3Enter value for row[1] column[2]: 6The matrix you entered is:9 1 272 3 6The transpose of this matrix has 3 rows and 2 columns and the transpose is:9 721 32 6

The programming language used is Java

A popular word game involves finding words from a grid of randomly generatedletters. Words must be at least three letters long and formed from adjoining letters.Letters may not be reused and it is valid to move across diagonals. As an example,consider the following 4 * 4 grid of letters: A B C DE F G HI J  K   LM N O P   The word “FAB” is valid (letters in the upper left corner) and the word “KNIFE”is valid. The word “BABE” is not valid because the “B” may not be reused. Theword “MINE” is not valid because the “E” is not adjacent to the “N”. Write a program that uses a 4 * 4 two-dimensional array to represent the gameboard. The program should randomly select letters for the board. You may wishto select vowels with a higher probability than consonants. You may also wish toalways place a “U” next to a “Q” or to treat “QU” as a single letter. The programshould read the words from the text file words.txt (included on the website withthis book) and then use a recursive algorithm to…