4. A population ecology study was performed in 2000 on the nbrualmoe of Pacitise Tren Froge. In the study, researchers used an estimnitor for the number of tree froge in a study patech which depended on how many were captured during two consoxutive days in the ares. Rescerchers tagseed each frog caught on the first day, so they knew if they re-enstured any of those froms on the seeond day. The estimator for population size of the study jatch that the researchers uned was Cliapman's method, which gives an estimnte of N^=r+1(n1+1)(n2+1)1 frogs, where n1 is the number captured on day one, n2 is the number captured on day two, and r is the number of re-captures between the two daysi, (a) Researchers captured (and then tagsed and released) 14 tree frogs on day one, and 9 tree: frogs on day two, with 4 being recaptures. What is the estimated number of tree frogs in the =4+1(14+1)(9+1)=5(15)(10)5150=301=29 of tree frofs in st (b) Let's consider N^ to be a function of n1, written like this: N^=f(n1). In this case, n2 and r are treated as constants. Assume for this exercise that n2 and r are equal to the values nsed in part (a). Find the range of values of n1 so that the inequality f(n1)<1>