1. 

   ykai Ton up Member

   I know f(x) of U(-theta,theta) is (1/2*theta) ,but I have no idea about why P[X_1<=z]=(z+theta)/(2*theta).
   Is it scope of exam of CS1?If not, pleaze let me know.

    

   Last edited: Mar 15, 2023

   ykai, Mar 15, 2023

   #1
2. 

   John Lee ActEd Tutor Staff Member

   It's just using the CDF of the uniform distribution given on page 13 of the Tables.
   
   Alternatively, you could just integrate between the start (-theta) and z to get this probability.

    

   John Lee, Mar 17, 2023

   #2

   ykai likes this.
3. 

   ykai Ton up Member

   Thank you. I found out my blind spot.

    

   ykai, Mar 17, 2023

   #3

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