Ali works at an amusement park on a small island in Indonesia. Ali drives from his home to the ferry depature terminal and then catches the ferry to the island. The time that it takes him, Ti minutes, to drive from his home to the ferry is normally distributed with Ti ~ N(16, 43). Ali always leaves his house at 07:40. The first ferry that he can catch departs at 08:00. (a) Find the probability that it will take Ali between 20 to 30 minutes to drive to the ferry. Round your answer to 4 significant figures. [2] The length of time, 75 minutes, of the ferry journey to the island is normally distributed with Th N(25, o'). The probability that the ferry journey takes less than 30 minutes is 0.9520. (b) Find o. Round your answer to 1 significant figure. (c) Find the probability that the ferry journey takes less than 20 minutes If Ali misses the first ferry, he can take another one which departs at 08:10. He must &Give at work by 08:30 to be on time. He will not make it to the island if he misses both ferries The variables 7, and 72 are independent. (d) Find the probability that All will arrive to work on time. Round your answer to 4 14 significant figures. This year, All will go to work on 214 days. (e) Calculate the number of days Ali is expected to arrive at work on time. 12