PLEASE HELP. Make sure the answer is correct and answer all parts of the question. I would really appreciate if you can help As soon as possible.

Your colleague proposes to model feline lifespans (in years) using the probability density function for > 0. (If 0, then the density is 0.) We collect lifespan information from cats, 1, ... , . Assume that the observations are independent and identically distributed according to the probability density function above.