Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

Normal Probability Distribution Quiz 11

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Master the Normal Probability Distribution Quiz with this 20-MCQ Test! Test your knowledge of key concepts like symmetry, standard deviation, skewness, kurtosis, and more. Perfect for students, learners, data analysts, and professionals preparing for exams, job tests, and interviews. Includes detailed answers & explanations to boost your understanding of probability distributions. Let us start with the Online Normal Probability Distribution Quiz now.

Online Normal Probability Distribution Quiz with Answers

Online Multiple Choice Questions about Normal Probability Distribution with Answers

1. The range of the standard normal distribution is

 
 
 
 

2. The value of the second moment about the mean in a normal distribution is 5. The fourth moment about the mean in the distribution is

 
 
 
 

3. The value of the ordinate at points of infection of the normal curve is equal to

 
 
 
 

4. If $Z\sim N(0, 1)$ the coefficient of variation is equal to

 
 
 
 

5. If $X\sim N(100, 64)$ then standard deviation $\sigma$ is

 
 
 
 

6. If $Z\sim N(0,1)$ then $\beta_2$ is equal to

 
 
 
 

7. The lower and upper quartiles for a standardized normal variate are, respectively

 
 
 
 

8. In a normal curve $\mu \pm 0.6745\sigma$ covers

 
 
 
 

9. The points of inflection of the standard normal distribution lie at

 
 
 
 

10. If $X$ is a normal random variable having mean $\mu$ then $E|X-\mu|$ is equal to

 
 
 
 

11. The value of the maximum ordinate in the standard normal distribution is equal to

 
 
 
 

12. The normal probability density function curve is symmetrical about the mean $\mu$, that is, the area to the right of the mean is the same as the area to the left of the mean. This means that $P(X<\mu)=P(X>\mu)$ is equal t:

 
 
 
 

13. If $X$ is a normal random variable having mean $\mu$ then $E(X-\mu)^2$ is equal to

 
 
 
 

14. The value of the standard deviation $\sigma$ of a normal distribution is always

 
 
 
 

15. The maximum ordinate of a normal curve is at

 
 
 
 

16. Which of the following is possible in a normal distribution?

 
 
 
 

17. In the normal distribution, the value of the maximum ordinate is equal to

 
 
 
 

18. The skewness and kurtosis of the normal distribution are, respectively

 
 
 
 

19. Pearson’s constants for a normal distribution with mean $\mu$ and variance $\sigma^2$ are

 
 
 
 

20. If $Z\sim N(0, 1)$ then $\mu_4$ is equal to

 
 
 
 


Online Normal Probability Distribution Quiz with Answers

  • The normal probability density function curve is symmetrical about the mean $\mu$, that is, the area to the right of the mean is the same as the area to the left of the mean. This means that $P(X<\mu)=P(X>\mu)$ is equal t:
  • The skewness and kurtosis of the normal distribution are, respectively
  • In a normal curve $\mu \pm 0.6745\sigma$ covers
  • The lower and upper quartiles for a standardized normal variate are, respectively
  • The maximum ordinate of a normal curve is at
  • The value of the standard deviation $\sigma$ of a normal distribution is always
  • If $X\sim N(100, 64)$ then standard deviation $\sigma$ is
  • If $Z\sim N(0, 1)$ the coefficient of variation is equal to
  • The points of inflection of the standard normal distribution lie at
  • If $Z\sim N(0, 1)$ then $\mu_4$ is equal to
  • The value of the second moment about the mean in a normal distribution is 5. The fourth moment about the mean in the distribution is
  • If $X$ is a normal random variable having mean $\mu$ then $E|X-\mu|$ is equal to
  • If $X$ is a normal random variable having mean $\mu$ then $E(X-\mu)^2$ is equal to
  • Which of the following is possible in a normal distribution?
  • The range of the standard normal distribution is
  • In the normal distribution, the value of the maximum ordinate is equal to
  • The value of the ordinate at points of infection of the normal curve is equal to
  • If $Z\sim N(0,1)$ then $\beta_2$ is equal to
  • Pearson’s constants for a normal distribution with mean $\mu$ and variance $\sigma^2$ are
  • The value of the maximum ordinate in the standard normal distribution is equal to

R Language Frequently Asked Questions

MCQs Normal Probability Distribution

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Test your knowledge of MCQs Normal Probability Distribution with this 20-question MCQ quiz! Perfect for statisticians, data analysts, and scientists, this quiz covers key concepts like parameters, symmetry, standard deviation, quartiles, skewness, and more. Ideal for exam prep, job interviews, and competitive tests, these questions help reinforce your understanding of the normal distribution, its properties, and applications. Sharpen your skills and assess your expertise in one of the most fundamental topics in statistics! Let us start with the Online MCQs Normal Probability Distribution now.

Online MCQs Normal Probability Distribution with Answers
Please go to MCQs Normal Probability Distribution to view the test

Online MCQs Normal Probability Distribution with Answers

  • The range of the normal distribution is
  • In the normal distribution
  • Which of the following is true for the normal curve
  • In a normal curve, the ordinate is highest at
  • The parameters of the normal distribution are
  • The shape of the normal curve depends upon the value of
  • The normal distribution is a proper probability of a continuous random variable; the total area under the curve $f(x)$ is
  • In a normal probability distribution of a continuous random variable, the value of the standard deviation is
  • In a normal curve, the highest point on the curve occurs at the mean $\mu$, which is also the
  • The normal curve is symmetrical, and for a symmetrical distribution, the values of all odd-order moments about the mean will always be
  • if $x\sim N(\mu, \sigma^2)$, the points of inflection of normal distribution are
  • In a normal probability distribution for a continuous random variable, the value of the mean deviation is approximately equal to
  • In a normal distribution whose mean is 1 and standard deviation 0, the value 4 quartile deviation is approximately
  • In a normal distribution, the lower and upper quartiles are equidistant from the mean and are at a distance of
  • The value of $e$ is approximately equal to
  • The value of $\pi$ is approximately equal to
  • If $X\sim N(\mu, \sigma^2)$, the standard normal variate is distributed as
  • The coefficient of skewness of a normal distribution is
  • The total area of the normal probability density function is equal to
  • In a standard normal distribution, the value of the mode is

Exploratory Data Analysis in R

Factorial Experiment Design MCQs 17

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Test your knowledge of Factorial Experiment Design MCQs with this 20-question MCQ quiz! Perfect for students, statisticians, data analysts, and data scientists, this quiz covers key concepts like full factorial designs, interactions, orthogonality, contrasts, and fractional factorial experiments. Whether you’re preparing for exams, job interviews, or research, this quiz helps you master essential DOE (Design of Experiments) principles. Check your understanding of factors, levels, efficiency, and experimental regions with detailed answers provided. Sharpen your skills and boost your confidence in statistical experimental design today! Let us start with the Online Factorial Experiment Design MCQs now.

Please go to Factorial Experiment Design MCQs 17 to view the test
Online Factorial Experiment Design MCQs with Answers

Online Factorial Experiment Design MCQs with Answers

  • A factorial experiment is an experiment whose design consists of two or more factors, each with
  • Ronald Fisher and —————– are the pioneers of factorial design
  • A full factorial design is also called a fully
  • When Interaction is present, we should prefer
  • Factorial designs provide a chance to estimate the effect of a factor at ———— levels of the other factor
  • In the case of two factors, the relative efficiency of factorial design to one-factor-at-a-time experimental design is:
  • The factorial analysis requires that dependent variables be measured as
  • A factorial experiment requires that factors
  • In a $2^2$ design, the number of trials is equal to
  • Factorial experiments can involve factors with ————— levels
  • Orthogonality of a design can be checked by putting the levels of factors in
  • Factorial experiments can involve factors with —————– numbers of levels
  • The range of factor levels in which an experiment can be performed is commonly known as
  • In the first phase of the experiment, the stage that is completed is called
  • Typically region of experimentation is a cuboidal or a
  • A contrast may be used to know the magnitude or direction of —————.
  • Contrast can be used to compute
  • Average effect of $B$ for 3 replicates of experiment with factors $A$ and $B$ is computed by diving contrast to
  • The runs of two or more fractional factorial designs may be —————– to estimate the effects of vital interest
  • ————— factorial designs fill the gaps of the run size of the common factorial design.

Exploratory Data Analysis in R Language