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1. A biologist wanted to estimate the size of the trout population in a lake. She...

1. A biologist wanted to estimate the size of the trout population in a lake. She marked and released 109 trout, and in a second sample a few days later caught 177 trout, of which 57 were marked. What is the best estimate of total population size?

2. A mouse species has a maximum lifespan of four years. Two-year-old mice (between the ages of 2 and 3) produce 2 babies per year, and three-year-old mice produce 3 babies per year. Babies (between 0 and 1 year of age) and one-year-old mice do not reproduce. In 2000, there were 50 baby mice, 10 one-year-old mice, 5 two-year-old mice, and two three-year-olds. What are the values of nx for x = 0, 1, 2, and 3 in 2000? What are the values of m x (=b x) for x = 0, 1, 2, 3? What are the values of lx for each age? How do you calculate the net reproductive rate R0? What is its value? Is the population increasing or decreasing in size? Why?

Please help! Please show clear explanations and methods to get to the answers so I can understand. Thank you so much in advance!

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