Question: Let X 1 , X 2 , X 3 , be a sequence of continuous random variable such that Show that X n converges

Let X1, X2, X3, ⋯ be a sequence of continuous random variable such thatn fxn (ax) = "e-. -ll. e 2

Show that Xn converges in probability to 0.

n fxn (ax) = "e-. -ll. e 2

Step by Step Solution

★★★★★

3.32 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To show that the sequence of random variables X1 X2 X3 converges in probability to 0 we need to demo... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Introduction To Probability Statistics Questions!

Q:

Let X 1 , X 2 , X 3 , be a sequence of continuous random variable such that Show that X n converges in probability to 0. fxn (x) nx 0 x > otherwise

Q:

Kracker, Foodstuff Inc., and Winston Stores Inc. are three large grocery chains. Inventory management is an important aspect of the grocery retail business. Recent balance sheets for these three...

Q:

Most computer languages have a function that can be used to generate random numbers. In Microsoft's Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let x denote...

Q:

Im trying to understand how to solve! Most computer languages have a function that can be used to generate random numbers. In Microsoft's Excel, the RAND function can be used to generate random...

Q:

20. Most computer languages have a function that can be used to generate random numbers. In Microsoft's Excel, the RAND function can be used to generate random numbers be- tween 0 and 1. If we let x...

Q:

Problem "I [8 points]. A box contains on blue and m red balls. You draw 11 balls with replacement. Using central limit theorem, estimate the minimum value of n in order to be at least 95% sure that...

Q:

Answer the questions...no need detail explanation Question 1 Which of the following is correct? A. A continuous random variable has a probability density function but not a cumulative distribution...

Q:

Please answer question 3 (a), (b) and (c) with explanation 3. The following table shows the number of TVs sold per day during the past 70 days at ABC Electronics. X Number of IVs sold Number of Days...

Q:

X-P(x) 0 0.1,25 1 0.428 2 0.256 3 0.108 4 0.0.083 1) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a...

Q:

Discuss why the State and Local Income tax deduction is one of the most politically challenging tax reforms? Do you agree or disagree with the elimination of the state and local income tax deduction....

Q:

The probability that a certain type of IC chip will fail after installation is 0.06. A memory board for a computer contains twelve such chips. The operation will be satisfactory if ten or more of the...

Q:

What are the books of original entry? Explain their utilities.

Q:

The following questions pertain to the Milgram studies (Highlight 4.2): a. What bases of power were available to the experimenter, and what bases of power were available to the subjects? b. Do you...

Q:

The arrival of trucks at a receiving dock is a Poisson process with a mean arrival rate of 2 per hour. (a) Find the probability that exactly 5 trucks arrive in a two-hour period. (b) Find the...

Q:

During an assembly process, parts arrive just as they are needed. However, at one station, the probability is 0.01 that a defective part will arrive in a one-hour period. Find the probability that...

Q:

Referring to Exercise 4.63, find the probability that the 15th gear in a day is the fourth to fail the test. Data From Exercise 4.63 4.63 A company manufactures hydraulic gears, and records show that...

Q:

Fran bought 1,000 shares of Ibis Corporation stock for $5,000 on January 15, 2013 and paid $100 brokerage fee. On December 31, 2018 she sold all 500 shares of her Ibis stock for $4,500. What is...

Q:

A manufacturer uses machine hours to assign overhead costs to products. Budgeted information for the next year follows. Compute the plantwide overhead rate for the next year based on machine hours....

Q:

Problem 9-73 Understanding Relationships, Master Budget, Comprehensive Optima Company is a high-technology organization that produces a mass-storage system. The design of Optima's system is unique...