answer please

1. For endangered species, like the Eastern Lowland Gorilla, one aspect that interests conservationists and ecologists is the survival time, in months, of the females upon reaching sexual maturity. Survival time, in this example, is the technical term for saying \"how much longer will a female Eastern Lowland Gorilla live after reaching sexual maturity?\" One statistical model used to model survival times is the exponential distribution.| [a] (2 points} Assume you have n. independent observations from the following exponential pdf, 1Write out the likelihood function. [b] (2 points} Write out the loglikelihood equation. {c} ('2 points} Take the partial derivative of the loglikelihood equation. (d) [2 points] Set the partial derivative equal to zero and solve for ,8. {ell [2 points} Find the second order derivative. Is it always positive or negative? (f) [2 points] The data was collected on eight female Eastern Lowland Gorillas. The data recorded included the number of years the female gorillas lived after reaching maturity. The number of years recorded were: 33, 42, 39, 35, 3:1, 38, 4|], and 3?. 'What is the corresponding MLE for ,3, the survival time