iid Let X1,.…., Xn , with CDF F(x) = x on [0, 1]. (a) Find the density of X;. (b) Find the mean of e*i. (c) Find the variance of exi.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
help with all the parts?
![iid
Let X1,..., Xn ~, with CDF F(x) = x on [0, 1].
(a) Find the density of X;.
(b) Find the mean of exi.
(c) Find the variance of eXi.
(d) State the approximate distribution (if n is large) of n-1 1 ei.
=D1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d65f259-146b-4e7b-895c-9b88cd9e86d3%2Ffbcfb254-90fa-43e6-bb64-852a424772e6%2Fv4olrod_processed.jpeg&w=3840&q=75)
“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved”.
Given:
Let X1,X2,........,Xn with CDF F(x) =x on [0,1].
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
