(12pts) 7. Consider a clock needle mounted at its centre so that it can spin freely. Its initial position is shown in Figure 1(a). It is spun clockwise and when it comes to rest the angle e, from the vertical, is measured. See Figure 1(b). (a) (b) Figure 1 Let X be the random variable: "angle O measured after each spin" and the pdf of f(x) is f(x)={ f(x) 0x2 0, elsewhere Q1: What is the probability that X lies between two values a, b, i.e. what is P(a < x