The states of Ohio, Iowa, and Idaho are often confused, probably because the names sound so similar. Each year, the State Tourism Directors of these three states drive to a meeting in one of the state capitals to discuss strategies for attracting tourists to their states so that the states will become better known.
The location of the meeting is selected at random from a city in each state. The shortest highway distance from the city in Idaho to the city in Ohio passes through the city in Iowa. The highway distance from the city in Idaho to the city in Iowa is 1330 miles, and the distance from the city in Iowa to the city in Ohio is 610 miles. Let
d1
represent the driving distance from the city in Ohio to the meeting, with
d2 and d3
representing the distances from the city in Iowa and the city in Idaho, respectively.
What is the expected value of
d1?
(Round your answer to three decimal places.)