A designer wishes to estimate power consumption characteristics of a new product based on the LPC1769, and applies the current consumption data of Table 15.5. A 3.3- V battery is available, with capacity 1200 mAh. She anticipates a behavior whereby the processor will need to wake once per minute to perform a task, made up of two parts. In the first part, the processor must run with a clock speed of 120 MHz, PLL enabled for 200 ms. It then runs at 12 MHz, PLL disabled, for 400 ms. For the rest of the time, it is in power-down mode. For the purposes of this question, the current taken by the rest of the circuit can be assumed to be negligible. 

a. Estimate the average current drawn from the battery. 

b. Estimate the battery life.