I'm doing an assignment and I can't seem to solve the following question:
Given the survival function for a newborn as:
$$S(t) = \frac{\left(121 - t\right)^{1/2}}{k},\; t\in\left(0, 121\right].$$
What is the value of $k$?
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2$\begingroup$ What work have you done? Please show your work, we don't solve homework exercises. $\endgroup$– SaegusaCommented Sep 8, 2021 at 15:44
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$\begingroup$ I tried the following: taking the partial derivatives, maximum likelihood estimation but nothing seems to work. Its actually a multiple choice question with the following options: $\endgroup$– LaylaCommented Sep 8, 2021 at 15:48
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$\begingroup$ (a) k = 121. (b) k = 11. (c) k = 10. Cannot be this since the function is >1 with is impossible (d) k can be any value in (0, 121]. Cannot be this since the function is >1 with is impossible (e) Cannot be determined $\endgroup$– LaylaCommented Sep 8, 2021 at 15:51
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$\begingroup$ I guess I'm not sure if I have enough information to answer the question? $\endgroup$– LaylaCommented Sep 8, 2021 at 15:52
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1$\begingroup$ You need to edit that info about what you tried into your question. And the info that $0\le S(t) \le 1$. $\endgroup$– PM 2RingCommented Sep 8, 2021 at 16:08
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