3 statistics questions

is a continuous random variable with density for

 

 

 

are observations of ,

 

  1. a) Write the maximum like hood (using log)
  2. b) First and second derivatives of the maximum like hood regarding the parameter
  3. c) Find maximum like hood estimator

and  a discrete binary value:

 

 

  1. a) Calculate marginal distribution of ,
  2. b) Calculate
  3. c) Calculate

 

 

 

 

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