Note:Round all solutions to 4 decimal places! Statistix goes on vacation with Statistika on the autobahn to the Baltic Sea. Since the remaining driving time on the motorway is 3 hours, Statistika...

Extracted text: Note:Round all solutions to 4 decimal places! Statistix goes on vacation with Statistika on the autobahn to the Baltic Sea. Since the remaining driving time on the motorway is 3 hours, Statistika looks out the window and tries to find electric cars using the license plates. Assuming that in the remaining driving time on the highway the average number of sighted electric cars is 15 and all electric cars are independent of each other. Let X: Waiting time for the next electric car seen [in hours] * 1) How is X distributed? [Distribution type and parameters] 2) What is the probability that Statistika .. a) will not see an electric car in the next 15 minutes? b) have to wait more than 8 and less than 16 minutes to see an electric car? c) looks out of the window into an electric car? d) sees an electric car in less than 5 minutes? 3) What is the expected waiting time for the next electric car [in hours]? Statistika has been waiting for 60 minutes without seeing an electric car. 4) What is the probability that you will finally see an electric car in the next 10 minutes?