d) The pattern of sunny and rainy days in Singapore is a Markov chain with two states. Every sunny day is followed by another sunny day with probability 0.3. Every rainy day is followed by another rainy day with probability 1. Today is sunny in Singapore. What is the probability of rain the day after tomorrow? What is the steady-state probability of rain? Round your answers to 2 decimal places [3 marks] The probability of rain the day after tomorrow is: The steady-state probability of rain is