Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

If μ be the rth order central-moment of a population μ0, μ1 and μ2 are: (where, σ = standard deviation)

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
Download PDF Attempt Online
View all SSC CGL Papers >
  1. 0, 1, σ2
  2. 1, 0, σ2
  3. 1, 1, σ
  4. 1, 0, σ

Answer (Detailed Solution Below)

Option 2 : 1, 0, σ2
vigyan-express
Free Tests
View all Free tests >
Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
3.6 Lakh Users
25 Questions 50 Marks 10 Mins
Start Now

Detailed Solution

Download Solution PDF

Given

μr be the rth order central-moment of a population μ0, μ1 and μ2 are moments aboput mean

Calculation

μo about mean = 0

⇒ μ1 = (∑x - x̅)/N = 0 ( Sum of deviations of items from the arithmetic mean is always zero

⇒ μ2 = ∑(x - x̅)2/N = ∑x2/N = σ 

∴ The value of μ2 is σ 

Download Solution PDF
Latest SSC CGL Updates

Last updated on Jun 25, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.

More Basics of Probability Questions

Q1.Which of the following is INCORRECT if E and F are independent?
Q2.If μ be the rth order central-moment of a population μ0, μ1 and μ2 are: (where, σ = standard deviation)
Q3.If a variable has three values -k, 0 and 3k with corresponding frequencies as 3k, 2k and k respectively, then the value of coefficient of skewness b1 is :
Q4.In a negatively skewed distribution
Q5.For a frequency distribution of a variable x, mean = 32, median = 30. The distribution is:
Q6.The standard deviation of a distribution is 5. The value of the fourth central moment, in order that the distribution be mesokurtic, should be:
Q7.The probability that a contractor gets a plumbing contract is 2 / 3 and the probability that he will not get an electric contract is 5 / 9. If the probability of getting at least one contract is 4 / 5, then the probability that he will get both the contracts is:
Q8.For four observations -1, 0, 1, 4, the measure of kurtosis equals
Q9.For two equally likely, exhaustive and independent events A and B, P(A ∩ B) is:
Q10.Suppose two distributions have the same mean, same standard deviation and are equally skewed, but the first distribution is more peaked than the other. This feature of the frequency distributions in which they are different are called:

More Probability and Statistics Questions

Q1.An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value k when k consecutive heads are obtained for k = 3, 4, 5, otherwise 𝑋 takes the value -1. The expected value of X, is
Q2.A bag contains 7 white, 6 red and 9 black balls. Two balls are drawn at random, the probability that the ball will be black is :
Q3.In formula \(\rm \overline X=A+\frac{\Sigma fiμ i}{\Sigma f}\times h\), μi = ?
Q4.A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown. Two such disks are used in a game where their arrows are independently spun. What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest? 
Q5.Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll of the dice and a ‘4’ on the second roll?
Q6.Dimension reduction methods have the goal of using the correlation structure among the predictor variables to accomplish which of the following: A. To reduce the number of predictor components B. To help ensure that these components are dependent C. To provide a framework for interpretability of the results D. To help ensure that these components are independent E. To increase the number of predictor components Choose the correct answer from the options given below: 
Q7.A man draws 3 balls from a jug containing 5 white balls and 7 black balls. He gets Rs. 20 for each white ball and Rs. 10 for each black ball. What is his expectation?
Q8.If f(x) is a probability density on the real line, then which of the following is NOT a valid probability density?
Q9.Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If the securities with less than perfect negative correlation between their price movements are combined, portfolio risk can be reduced significantly. Reason (R): The term with negative correlation has the effect of reducing the computed value of total portfolio risk, given other terms that are positive. In the light of the above statements, choose the most appropriate answer from the options given below:
Q10.A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively. If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is ________.
Crack Vigyan Express by Lalit Sir with
India's Super Teachers
Explore Supercoaching For FREE
Suggested Test Series
View All >
SSC CGL (Tier I & Tier II) Mock Test 2025 (New)
1861 Total Tests with 6 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   4 Free Tests
Start Free Test
Suggested Exams
Exam-Logo
SSC CGL

SSC CGL Important Links

More Engineering Mathematics Questions

Q1.If L = {1, 2, 3, 4, 6, 9, 36} is the lattice find the number of complements 9 is having in the below given Hasse diagram?
Q2.Which of the following statements is/are TRUE for undirected graphs?
Q3.\(\iint \frac{x y}{\sqrt{1-y^{2}}} d x d y\) Over the positive quadrant of the circle x2 + y2 = 1 is __________.
Q4.The real root of the equation x3 − x − 5 = 0 lying between 1 and 2 after first iteration by Newton-Raphson method is ________, if initial approximation is taken as x0 = 2 ∈ [1, 2] : 
Q5.Let X be uniform random variable on [0, 4] and Y be uniform random variable on [0, 1]. If X and Y are independent, then P(max {X, Y} > 3) is equal to : 
Q6.If R and D are the radius and diameter of the graph K4,7, then the ordered pair (R, D) is equal to : 
Q7.The largest number of faces in a simple connected maximal planar graph with 100 vertices is :
Q8.If for the matrix A, A3 = I then A−1 = __________. 
Q9.Energy of power signal is : 
Q10.With usual notations, the properties of maxima and minima under various conditions are __________. I II (P) Maxima (i) r t− s2 = 0 (Q) Minima (ii) rt − s2 < 0 (R) Saddle Point (iii) rt − s2 > 0, r > 0 (S)  Case of failure (iv) rt − s2 > 0, r < 0
Exams
Cut Off
Eligibility
Coaching
Previous Year Papers
Syllabus
Test Series
Important Exams
Super Coaching
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti gold apk teen patti gold old version teen patti club apk teen patti tiger lotus teen patti