(10 points) The home states of a certain group of peopi are distributed as follows: 58 percent are from MISSOUAI, 27 percent are from KANSAS, and 15 percent are from IOWA (No one in the group had a home state other than one of these throe) (Note: Your answer to the question bolow should be rounded to three decimai places.) Suppose we randomly select a person from this group. What is the expected vilue of the number of letters in the selected person's home state?.