Order statistics. Suppose X,..., X100 are independent and uniformly distributed on (0,1). (a) Find the probability...

 

Transcribed Image Text:

Order statistics. Suppose X₁,..., X100 are independent and uniformly distributed on (0,1). (a) Find the probability the 25th smallest variable is less than 0.20. (b) Find E[X (95)] and V[X(95)]. (c) The range of a set of numbers is the difference between the maximum and the minimum. Find the expected range. Order statistics. Suppose X₁,..., X100 are independent and uniformly distributed on (0,1). (a) Find the probability the 25th smallest variable is less than 0.20. (b) Find E[X (95)] and V[X(95)]. (c) The range of a set of numbers is the difference between the maximum and the minimum. Find the expected range.

Answer rating: 100% (QA)

X X100 Uniform 01 het XIK be the kith order statistic 3 pdf of XK CS X25 PX25 02... View the full answer