Among the six measurements of the boiling point of a silsicon compound

[TomJerry]

Question:
Among the six measurements of the boiling point of a silsicon compound, the size of the error was 0.07, 0.03,0.14,0.08 and 0.03 degree C . Assuming that these data can be looked upon as a random sample from the population given by.

f(x; \theta) = 2 (\theta - x) / \theta² for 0 < x < \theta
= 0 elsewhere

Assume that the time to failure, X of a telephone switching system is exponentially distributed with a failure rate \lambda. Estimate the maximum likelihood failure rate \lambda from a random sample of n times to failure.

 

[honestrosewater]

Homework questions should go up in https://www.physicsforums.com/forumdisplay.php?f=152", and you need to put in some effort and give your own thoughts so people know how to help you. Where are you stuck on these?

 

[TomJerry]

Homework questions should go up in https://www.physicsforums.com/forumdisplay.php?f=152", and you need to put in some effort and give your own thoughts so people know how to help you. Where are you stuck on these?

I don't know how to start solving maximum likelihood question. Please if you can suggest any site or documents which could help be solve such problems. I don't have any notes .