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.

Important Probability Online MCQs Test 6

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This Quiz contains Probability Online MCQs Test, events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, etc. Let us start the Probability Online MCQs Test with the Answers:

Online MCQs Exam for the Post of PPSC Statistics Lecturer and Statistical Officer

1. What word describes two events that cannot occur at the same time?

 
 
 
 

2. Events having an equal chance of occurrence are called

 
 
 
 

3. If $A$ and $B$ are dependent events, $P(A)=0.40$ and $P(B|A)=0.35$ then $P(A \cap B)$ is

 
 
 
 

4. A fair coin is tossed 50 times, and the expected number of heads is:

 
 
 
 

5. How would you describe $P(A|B)$ in words for two sets $A$ and $B$?

 
 
 
 

6. What is the expected value?

 
 
 
 

7. In the context of probability, what is an outcome?

 
 
 
 

8. What shows the exact probabilities for a particular value of a random variable?

 
 
 
 

9. $A$ and $B$ are two mutually exclusive events. The probability of $A$ happening is $\frac{1}{4}$. The probability of $BB$ happening is $\frac{1}{3}$. The probability of neither $A$ nor $B$ happening is?

 
 
 
 

10. The subset of a sample space is called

 
 
 
 

11. The probability of an event happening is $\frac{1}{3}$. The probability of it not happening is?

 
 
 
 

12. How would you calculate the probability that a random variable is less than 5?

 
 
 
 

13. What is a probability?

 
 
 
 

14. In the context of probability, what is a sample space?

 
 
 
 

15. What is a random variable?

 
 
 
 

16. What is a continuous random variable?

 
 
 
 

17. A conditional probability might be found in which of the following ways?

 
 
 
 

18. What is conditional probability?

 
 
 
 

19. $P(A\cap B() = P(A) P(B|A)$, then $A$ and $B$ are

 
 
 
 

20. How would you describe $P(A \cap B)$ in words for two sets $A$ and $B$?

 
 
 
 

Probability Online MCQs Test

Probability Online MCQs Test

  • In the context of probability, what is an outcome?
  • What is a probability?
  • How would you calculate the probability that a random variable is less than 5?
  • In the context of probability, what is a sample space?
  • What word describes two events that cannot occur at the same time?
  • What is the expected value?
  • What is conditional probability?
  • What is a continuous random variable?
  • What shows the exact probabilities for a particular value of a random variable?
  • How would you describe $P(A \cap B)$ in words for two sets $A$ and $B$?
  • How would you describe $P(A|B)$ in words for two sets $A$ and $B$?
  • What is a random variable?
  • $A$ and $B$ are two mutually exclusive events. The probability of $A$ happening is $\frac{1}{4}$. The probability of $BB$ happening is $\frac{1}{3}$. The probability of neither $A$ nor $B$ happening is?
  • The probability of an event happening is $\frac{1}{3}$. The probability of it not happening is?
  • A conditional probability might be found in which of the following ways?
  • A fair coin is tossed 50 times, and the expected number of heads is:
  • If $A$ and $B$ are dependent events, $P(A)=0.40$ and $P(B|A)=0.35$ then $P(A \cap B)$ is
  • $P(A\cap B() = P(A) P(B|A)$, then $A$ and $B$ are
  • The subset of a sample space is called
  • Events having an equal chance of occurrence are called

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Important MCQs Design of Experiments

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This test contains MCQs Design of Experiments (DOE). Click the links from the MCQS Design of Experiments list to start with the quiz. All the MCQs Designs of Experiments are from topics of Basic principles of Design of Experiments, concept of Randomization, Replication, types of Designs, Experimental Unit and Error, CRD, CRBD, LSD, Greco LSD, Factorial design and experiments, Response surface design, and balanced incomplete block designs. etc.

Online MCQs Design of Experiments

MCQs DOE 6MCQs DOE 5MCQS DOE 4
MCQs DOE 3MCQs DOE 2MCQs DOE 1

An experiment deliberately imposes a treatment on a group of objects or subjects to observe the response. The experimental unit is the basic entity or unit on which the experiment is performed. It is an object to which the treatment is applied and the variable under investigation is measured and analyzed.

Single-Factor Design: In a single-factor experiment only a single factor varies while all others are kept constant. The CRD, RCBD, and LSD are examples of single-factor designs.

Multi-Factor Design: Multi-factor designs are also known as factorial experiments. When several factors are investigated simultaneously in a single experiment, such experiments are known as factorial experiments.

Systematic Designs: In systematic designs treatments are applied to the experimental units by some systematic pattern, i.e., by the choice of the experimenter. For example, the experimenter wishes to test three treatments and he decides to have four repetitions of each treatment.

Online MCQs Design of Experiments

Randomized Designs: In randomized designs, as the treatments are applied randomly, therefore the conclusions drawn are supported by statistical tests. In this way, inferences are applicable in a wider range and the random process minimizes the systematic error. The analysis of variance techniques is also suitable for randomized designs only.

The purpose of the Design of Experiments is:

  • Get maximum information for minimum expenditure in the minimum possible time.
  • Helps to reduce the experimental error.
  • To ignore spurious effects, if any.
  • To evaluate and examine the outcomes critically and logically.
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Important Design of Experiments Quiz 2

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The post contains MCQs on the Design of Experiments Quiz (DOE). Most of the MCQs on the Design of Experiments Quiz are from factorial Experiments. Let us start with Online MCQs on the Design of Experiments Quiz.

Please go to Important Design of Experiments Quiz 2 to view the test

Design of experiments (DOE) is a systematic method used to plan, conduct, analyze, and interpret controlled tests to study the relationship between factors and outcomes. Design of Experiment is a powerful tool used in various fields, including science, engineering, and business, to gain insights and optimize processes.

Design of Experiments Quiz

Design of Experiments Quiz

  • The parameter $\lambda$ for a balanced incomplete block design with $a=4, b=4, k=3, r=3$ as usual notation is
  • For a two-factor factorial design, if there are ‘$a$’ levels of Factor-A and ‘$b$’ levels of Factor-B, then $df$ of interaction are:
  • In $3^k$ factorial design with $n$ replicates in the experiment, the $df$ of error are
  • Let ADE and BCE be two effects confounded in blocks. Then generalized interaction is
  • If ABC is confounded in replicate I, AB is confounded in replicated II, BC is confounded in replicate III, then the design technique is called
  • An important relationship between the coefficient of determination $R^2$ and the F-ratio used in ANOVA is
  • In a randomized complete block design, the block should be constructed so that
  • For a Latin Square design
  • In a factorial experiment, if $r$ is the number of replicates then each factorial effect has the same variance, that is
  • When all pairs of treatments are compared with approximately the same precision, even though the differences among blocks may be large, called
  • In a $2^3$ factorial experiment with partial confounding in three replications of 6 blocks, the error degrees of freedom would be
  • When a factorial experiment is performed in fractional replication, the two factorial effects that are represented by the same comparisons are called
  • When a number of confounded arrangements for factorial designs are made in Latin Squares, the designs are called
  • The number of aliases of two-factor interactions in a $2^6$-factorial experiment (1/4 replicate) would be
  • The designs in which the number of treatments must be an exact square, the size of a block is the square root of this form, and separate replications are called
  • A design with $v$ treatment labels, each occurring $r$ times, and with $bk$ experimental units grouped into $b=v$ blocks of size $k<v$ in such a way that the units within a block are alike and units in different blocks are substantially different is
  • An experiment was designed to investigate the effect of the amount of water and seed variety on the subsequent growth of plants. Each plant was potted in a clay plot, and a measured amount of water was given weekly. The height of the plant at the end of the experiment was measured. Which of the following is not correct?
  • The models in which the levels of treatment factors are specifically chosen are known as
  • Which of the following is NOT CORRECT about a randomized complete block experiment?
  • An experiment was conducted where you analyzed the results of the plant growth experiment after you manipulated the amount of water and seed variety. Which of the following is correct?
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Best MCQs Random Variables Quizzes

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The following are online quizzes containing MCQs Random variables. Start any of the online quizzes/exams/tests by clicking the links below.

MCQs Random Variables Quizzes

MCQs Random Variable 6MCQs Random Variable 5MCQs Random Variable 4
MCQs Random Variable 3MCQs Random Variable 2MCQs Random Variable 1
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A Random Variable (random quantity or stochastic variable) is a set of possible values from a random experiment. The domain of a random variable is called sample space. For example, in the case of a coin toss experiment, there are only two possible outcomes, namely heads or tails. A random variable can be either discrete or continuous. The discrete random variable takes only certain values such as 1, 2, 3, etc., and a continuous random variable can take any value within a range such as the height of persons.

MCQs Random Variables

By using random variables, one can use the tools of probability and statistics to analyze the outcomes of the experiment. One can calculate such as the probability of getting a certain result, the average outcome, or how spread out the results are.

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Online MCQs Correct Use of Tenses