Consider a person who mostly stays at home and occasionally gets out. The person has a smartwatch in his possession. The smartwatch has access to GPS data. The GPS is sampled every 3 seconds. The watch has to communicate with the smartphone to receive calls. If the connection between the smartwatch and the phone is not good then calls get dropped. Whenever the smartwatch observes that the person has moved 5m from his home position watch bumps up the radio power to ensure good call reception. At low power, the call drop rate is 0.2 indoors, i.e., 2 out of 10 calls are dropped however at high power the call drop rate is 0.01 indoors. Whenever the person is outside, the call drop rate increases by 10% with respect to the indoor call drop rate. From the GPS data, the smartwatch has developed a mobility model of the person. Every 1 second, the probability that the person is inside the house i.e.,P(x < 5m) = 0.7. Consider that the smartwatch is initially in a low-power mode. Calls arrive at the rate of 1 call per second

What is the worst-case expected call drop rate for a 6-second period?