A sequence of pseudo-random numbers are generated using xn+1 = (3xn + 5) mod 31 with seed x0 = 2. Find x1, x2, and x3.Select one:a.x1 = 11, x2 = 7, x3 = 26b.x1 = 11, x2 = 1, x3 = 8c.x1 = 8, x2 = 29, x3 = 30d.None of the otherse.x1 = 11, x2 = 7, x3 = 13Clear my choice

1. Suppose pseudo-random numbers are produced by using: xn+1 = (3xn + 11) mod 13. If x3=5, find x2 and x4.2. Suppose pseudo-random numbers are produced by using: xn+1 = (2xn + 7) mod 9.a) If x0 = 1, find x2 and x3 b) If x3 = 3, find x2 and x4.3. Using the function f(x) = (x + 10) mod 26 to encrypt messages. Answer each of thesequestions.a) Encrypt the message STOP b) Decrypt the message LEI4. Which memory locations are assigned by the hashing function h(k) = k mod 101 to therecords of insurance company customers with these Social Security Numbers?a) 104578690 b) 4322221875. Use the Euclidean algorithm to finda) gcd(14, 28) b) gcd(8, 28) c) gcd(100, 101) d) gcd(28,35)e) lcm(7, 28) f) lcm(12, 28) g) lcm(100, 101) h) lcm(28,35)

he parameters of the linear congruential generator xn+1 := axn(mod m), un := xnm are a :=numberof letters in your name, m := 2number of letters in your last name, x0 := number of letters in your nametotal number of letters in your name and last name .Compute the first 5 values of the sequence and discuss whether it is a good random number generatoror not. What deficiencies do you expect it will have?

Pseudorandom Number Generators

Look carefully for the pattern, and then choose which pair of numbers comes next. 28, 24, 6, 21, 17, 6, 14, X, X,*11, 85, 1010, 510,610, 7

Look carefully for the pattern, and then choose which pair of numbers comes next. 28, 24, 6, 21, 17, 6, 14, X, X,