Statistical Methods [MA Entrance]

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MA Economics Entrance

Join Online Video Classes by Prime Academy for MA Economics Entrance Examination. The Video Classes are prepared by Mr. Dheeraj Suri, an expert faculty teaching Economics for over 20 years.

The Statistical Methods Course for MA Economics Entrance, has been taught by Mr. Dheeraj Suri. The Video Lectures are designed to cover the topics of MA Economics Entrance Exhaustively. The Duration of Video Lectures is approximately 50 Hours.

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Demo Lectures for Statistical Mathods

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Chapter-2-Central-Tendency

Demo Quiz

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Time Allowed for this Test is 10 Minutes

Time Allowed for this Test is 10 Minutes


Probability Test #5

1. Please Read the Questions and all the options Carefully, Before Selecting Your Choice.
2. You are not Allowed to edit your answers after submission.
3. The Paper has ten Questions
4. Time Allowed is 10 Minutes.
5. It is necessary to enter your valid Email id to attempt this test.

 

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1 / 10

Two patients share a hospital room for two days. Suppose that, on any given day, a person independently picks up an airborne infection with probability 1/4. An individual who is infected on the first day will certainly pass it to the other patient on the second day. Once contracted, the infection stays for at least two days. What is the probability that fewer than two patients have the infection by the end of the second day? 

2 / 10

Suppose 1/10 of the population has a disease. If a person has the disease, then a test detects it with probability 8/10. If a person does not have the disease, then the test incorrectly shows the presence of the disease with probability 2/10. What is the probability that the person tested has the disease if the test indicates the presence of the disease?

3 / 10

There are 3 red and 5 black balls in an urn. You draw two balls in succession without replacing the first ball.
The probability that the second ball is red equals

4 / 10

An insurance policy-holder can submit up to 5 claims. The probability that the policyholder submits exactly n claims is pn, for n = 0, 1, 2, 3, 4, 5. It is known that
(a)  The difference between pn and pn + 1 is constant for n = 0, 1, 2, 3, 4, and 

(b)  40% of the policyholders submit 0 or 1 claim.
What is the probability that a policy-holder submits 4 or 5 claims?

5 / 10

A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tickets. The probability that an individual tourist will not show up is 0.02, independent of all other tourists. Each ticket costs 50, and is non-refundable if a tourist fails to show up. If a tourist shows up and a seat is not available, the tour operator has to pay 100 to that tourist. The expected revenue of the tour operator is 

6 / 10

In a roll of two fair dice, X is the number on first die and Y is the number on second die. Which of the following statements is True

7 / 10

A family has two children, what is the probability that both are girls given that at least one child is girl?

8 / 10

A student is answering a multiple‐choice examination. Suppose a question has m possible answers. The student knows the correct answer with probability p. If the student knows the correct answer, then she picks that answer; otherwise, she picks randomly from the choices with probability 1/m each. Given that the student picked the correct answer, the probability that she knew the correct  answer is

9 / 10

Suppose two fair dice are tossed simultaneously. What is the probability that the total number of spots on the upper faces of the two dice is not divisible by 2, 3, or 5?

10 / 10

A coin toss has possible outcomes H and T with probabilities 3/4 and 1/4 respectively. A gambler observes a sequence of tosses of this coin until H occurs. Let the first H occur on the nth toss. If n is odd, then the gambler’s prize is −2n , and if n is even, then the gambler’s prize is 2n . What is the expected value of the gambler’s prize?

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Course Content of Our Video Lectures

Chapter 1 : Introduction & Overview [60 Minutes]

Number of Lectures   1 Lectures

Total Duration   60 Minutes

Number of Questions in Notes   10 Questions

Number of MCQ Tests on this Chapter   1 Tests

Important Topics Covered : Population & Sample

Chapter 2 : Measures of Central Tendency [293 Minutes]

Number of Lectures   11 Lectures

Total Duration   293 Minutes

Number of Questions in Notes 183 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Arithmetic Mean,

►Median,

►Mode,

►Trimmed Mean,

►Geometric Mean,

►Harmonic Mean,

►Partition Values,

Chapter 3 : Measures of Dispersion & Skewness [269 Minutes]

Number of Lectures   8 Lectures

Total Duration   269 Minutes

Number of Questions in Notes 244 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Range & Coefficient of Range,

►Quartile Deviation & Coefficient of Quartile Deviation,

►Mean Deviation & Coefficient of Mean Deviation,

►Standard Deviation, Variance & Coefficient of Variation,

►Properties of Standard Deviation,

►Measures of Skewness,

►Moments & Kurtosis,

Chapter 4 : Probability [543 Minutes]

Number of Lectures   13 Lectures

Total Duration   543 Minutes

Number of Questions in Notes 370 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Random Experiment, Sample Space

►Algebra of Events,

►Probability of an Event,

►Use of Permutations & Combinations,

►Addition Theorem of Probability,

►Conditional Probability,

►Independent Events & Multiplication Theorem,

►Law of Total Probability, Baye’s Theorem

►Mathematical Expectation,

Chapter 5 : Discrete Probability Distributions [302 Minutes]

Number of Lectures   6 Lectures

Total Duration   302 Minutes

Number of Questions in Notes 214 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Discrete Random Variable,

►Discrete Probability Distribution,

►Probability Mass Function,

►Cumulative Distribution Function,

►Mean & Variance of a Discrete Random Variable,

►Binomial Distribution,

►Poisson Distribution,

►Hypergeometric Distribution,

►Negative Binomial Distribution, Geometric Distribution,

Chapter 6 : Continuous Probability Distributions [293 Minutes]

Number of Lectures   7 Lectures

Total Duration   293 Minutes

Number of Questions in Notes 99 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Continuous Random Variable,

Probability Density Function,

Cumulative Distribution Function,

Mean & Variance of PDF,

Uniform Distribution,

Normal Distribution,

Binomial Approximation of Normal Distribution,

Exponential Distribution,

Chapter 7 : Joint Distributions [156 Minutes]

Number of Lectures   3 Lectures

Total Duration   156 Minutes

Number of Questions in Notes 23 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Joint Probability Mass Function,

Joint Probability Mass Function,

Marginal Probability Function,

Conditional Probability Function,

Joint Probability Density Function,

Marginal & Conditional Densities,

Chapter 8 : Coefficient of Correlation [67 Minutes]

Number of Lectures   2 Lectures

Total Duration   67 Minutes

Number of Questions in Notes 80 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Meaning of Correlation,

Types of Correlation,

Scatter Diagram Method,

Karl Pearson’s Coefficient of Correlation,

Properties of Correlation Coefficient,

Corrected Correlation Coefficient,

Standard Error & Probable Error,

Coefficient of Determination,

Spearman’s Rank Correlation,

Chapter 9 : Regression Analysis [90 Minutes]

Number of Lectures   3 Lectures

Total Duration   90 Minutes

Number of Questions in Notes 91 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Regression Analysis,

Regression Equation of Y on X and X on Y,

Method of Least Squares,

Method of Least Squares,

Regression Coefficients,

Properties of Regression Coefficients,

Correlation & Regression Coefficients of Bivariate Frequency Distributions,

Explained & Unexplained Variations,

Chapter 10 : Index Numbers [115 Minutes]

Number of Lectures   3 Lectures

Total Duration   115 Minutes

Number of Questions in Notes 126 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Price Index Numbers,

Quantity Index Numbers,

Value Index Numbers,

Tests of Adequacy,

Chain Base Index Numbers,

Fixed Base Index Numbers,

Base Shifting and Deflating,

Cost of Living Index,

Chapter 11 : Sampling [214 Minutes]

Number of Lectures   4 Lectures

Total Duration   214 Minutes

Number of Questions in Notes 53 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Methods of Sampling,

Sampling Distribution,

Point Estimation,

Properties of Good Estimator,

Standard Error of a Statistic,

Central Limit Theorem,

Chapter 12 : Confidence Interval [230 Minutes]

Number of Lectures   5 Lectures

Total Duration   230 Minutes

Number of Questions in Notes 73 Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Confidence Interval for Mean,

Maximum Error,

Confidence Bound,

Confidence Interval for Proportion,

Students ‘t’ Distribution,

Chi-square Distribution,

Confidence Interval for Population Variance,

Chapter 13 : Hypothesis Testing [191 Minutes]

Number of Lectures   4 Lectures

Total Duration   191 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Hypothesis Testing,

Chapter 14 : Two Sample Tests [220 Minutes]

Number of Lectures   7 Lectures

Total Duration   220 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Hypothesis Testing,

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