7. Assume that the population of a species has a life span of less than 3 years. The females are divided into three age groups: group 1 contains those of ages less than 1, group 2 contains those of age between 1 to 2, and group 3 contains those of age 2. Suppose that the females in group 1 do not give birth and the average numbers of newborn females produced by one female in group 2 and 3, respectively, are 3 and 2. Suppose that 50% of the females in group 1 survive to age 1 and 80% of the females in group 2 live to age 2. Assume that the numbers of females in groups 1, 2, and 3 are X1, X2, and X3, respectively. i. Find the number of females in the three groups in the following year. ii. Find the number of females in the three groups in n years. ii. If the current population distribution (x1, x2, x3)= (1000,500,100), then use result 2 to predict the population distribution in 2 years.