Compute the N-point DFT of the following finite-length sequences considered to be of length N (N is even): (a) x[n] = ( 1, n odd 0, n even
(b) x[n] = 1 2 1 − cos 2πn N
(c) x[n] = ( 1, 0 ≤ n ≤ N 2 − 1 0, N 2 ≤ n ≤ N − 1

Adice is rolled 5 times. how many possible rolls are there? ( determine the number of outcomes using only the fundamental counting principal )

Solve the equation -9p - 17 =10 a -3 b. 16 c. 18 d -16

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?