Given the function defined by y = =3 - 6sin(2x + pi / 2), determine the solution to each question below. Show your work and explain how you determine each characteristic of the function. 1. What is its period?
2. What is the amplitude of its graph?
3. What is its domain and range?
4. What is the y-intercept of its graph?
5. What is its phase shift?
6. Sketch two periods of the graph of this function. Label the axes with key values.

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.