Hello guys, please tackle the below difficult questions in the most appropriate manner possible..

1.Given f(x) as x for 0

2.Determine the representation of the moment generating function and illustrate.

3.Given a diagram with a graph representing Weibull distribution and told that there is a threshold parameter denoted by Y, what do you think will be the effect of this parameter?

4.Physic students decided to conduct an experiment that required an understanding of Weibull distribution. 2000 hours was the time to failure while shape of the bulb was . Determine the probability of the bulb lasting more than 4000 hours and the mean time to failure.

5.In AES, determine the transformation of the 4x4 bytes matrix key. To which size of key is it transformed to?

6.Determine the value of c_i in the during the application of b'_i = b_i XOR b_(i+4) XOR b(i+5) XOR b_(i+6) XOR b_(i+7) XOR c_i to form the s-box.

7.Justify by giving the truth value of the declaration that given degrees m and n you'll find that their sum has degree max[m,n].

8.Given a situation where P represents a polynomial, determine whether the results of(x (x P)) and those of (x2 P) are the same.

9.Given that n a given GF(p) denoted by 2n is 4, what is the total numbers that cannot be used in the GF(p)?

10.Solve for the value of f(x) - g(x) given that g(x)=x²-x+1 andf(x)=x³+x²+2