10. (a) Find T4(x), the 4th degree Taylor polynomial for f(x) = sin x centered at a = π/6. (b) Use Taylor’s inequality to estimate the accuracy of the approximation f(x) ≈ T4(x) when 0 ≤ x ≤ π/3. In

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.