1 if a random variable x is distributed chi square with n

Reference no: EM13372384

1. If a random variable X is distributed chi square with n degrees of freedom then the expected value of X is n. Show that this is true.

2. Suppose we have a random sample X1, X2, ...Xn from a distribution with mean µ and variance σ². Let's compare two estimators in terms of their relative efficiency. The first estimator is the sample mean Xbar. The second estimator is the second observation in the sample, X2. Which one is more efficient? (hint: calculate the expected value and variance of both)

3. You are given the following information about the joint probability distribution of X and Y:

	Y=1	Y=2	Y=3
X=0	0.25	0.1	0.05
X=1	0.3	0.2	0.1

Determine the following:

P(X=0|Y=2)
P(Y=3)
E(X|Y=1)
E(X)
Compare the answers in part c) and d). Do you get the same answer? Why or why not?

Reference no: EM13372384

Questions Cloud

Various policy mechanisms can be used to correct these : various policy mechanisms can be used to correct these market failuresthese corrective mechanisms can be broadly

Questions1 what type of uae companies would like to see : questions1. what type of uae companies would like to see higher tariffs and what type would like to seelower or no

Use a principle or principles discussed in the course to : use a principle or principles discussed in the course to explain some pattern of events or behaviour that you

1 select at least two published articles about a policy : 1. select at least two published articles about a policy issue based on an economic point of view. critique them from

1 if a random variable x is distributed chi square with n : 1. if a random variable x is distributed chi square with n degrees of freedom then the expected value of x is n. show

Question 1an economy is currently in equilibrium and the : question 1an economy is currently in equilibrium and the following figures refer to elements in its national

Analysing a drilling decision using an interactive : analysing a drilling decision using an interactive model.open interactive model. there you will see a tree similar to

Questions1 given a supply curve for ultrasound clinics : questions1. given a supply curve for ultrasound clinics predict how the supply curve will shift i.e. increase or

Problem 1 perfect competition consider an industry in which : problem 1. perfect competition consider an industry in which there are 10 identical firms and 1000 identical consumers.

User Account

All Pages