Important Probability MCQs Online Test 9

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The post is about the Probability MCQS Online Test. There are 20 multiple-choice questions covering the basics of probability, events and types of events, rules of probability, subjective and classical probability, etc. Let us start with the Probability MCQs Online Test.

Online multiple-choice questions about Probability

1. Which of the following is a collection of all mutually exclusive events representing a card randomly selected from a deck of ordinary playing cards?

 
 
 
 

2. If a card is chosen from a standard deck of cards, what is the probability of getting a diamond or a club?

 
 
 
 

3. A letter is chosen at random from the word MATHEMATICS, the probability of getting $M$ is

 
 
 
 

4. Which one of the following statements is false?

 
 
 
 

5. Subjective probabilities are assigned to the events $A$ and $B$, which comprise a sample space. Which of the following probability statements is not valid?

 
 
 
 

6. If a card is chosen from a standard deck of cards, what is the probability of getting a five or a face card?

 
 
 
 

7. If $P(B|A) = P(B)$ then $A$ and $B$ are

 
 
 
 

8. Which of the following are collectively exhaustive events representing a card randomly selected from a deck of ordinary playing cards?

 
 
 
 

9. If you have two standard decks of cards (one with a blue back and the other with a red back), you draw one card from each. What is the probability that the blue-backed card is a heart or the red-backed card is a black card?

 
 
 
 

10. A personal manager selects an applicant at random from a large group for an interview. The probability of the applicant being male is 0.60. The probability of selecting an adult is 0.70. The probability of selecting an adult male is 0.45. Given that a male is selected, the probability that he is an adult is:

 
 
 
 

11. Which one of the following statements is not true?

 
 
 
 

12. From the following table, what is the probability of selecting a female university graduate student from this group?

MCQs Probability Quiz

 
 
 
 

13. If you roll a pair of dice, what is the probability that (at least) one dice is a 1 or the sum of the dice is 9?

 
 
 
 

14. If a card is chosen from a standard deck of cards, what is the probability of getting a two or a five?

 
 
 
 

15. If a letter is chosen at random from the 10 letters of the word STATISTICS, what is the probability that it is a vowel?

 
 
 
 

16. The probability of drawing one white ball from a bag containing 2 white, 3 blue, and 3 black balls is

 
 
 
 

17. A die is rolled. What is the probability that the number rolled is greater than 2 and even

 
 
 
 

18. Indicate in which one of the following situations the events $A$ and $B$ are independent:

 
 
 
 

19. A marginal probability might be found by any but which one of the following?

 
 
 
 

20. If $A$ and $B$ are independent events, $P(A) = 0.45, P(B) = 0.60$ then $P(A \cap B)$ is

 
 
 
 

Probability MCQs Online Test

Probability MCQs Online Test
  • A die is rolled. What is the probability that the number rolled is greater than 2 and even
  • If you have two standard decks of cards (one with a blue back and the other with a red back), you draw one card from each. What is the probability that the blue-backed card is a heart or the red-backed card is a black card?
  • If you roll a pair of dice, what is the probability that (at least) one dice is a 1 or the sum of the dice is 9?
  • If a card is chosen from a standard deck of cards, what is the probability of getting a diamond or a club?
  • If a card is chosen from a standard deck of cards, what is the probability of getting a two or a five?
  • If a card is chosen from a standard deck of cards, what is the probability of getting a five or a face card?
  • If a letter is chosen at random from the 10 letters of the word STATISTICS, what is the probability that it is a vowel?
  • From the following table, what is the probability of selecting a female university graduate student from this group?
  • Subjective probabilities are assigned to the events $A$ and $B$, which comprise a sample space. Which of the following probability statements is not valid?
  • A personal manager selects an applicant at random from a large group for an interview. The probability of the applicant being male is 0.60. The probability of selecting an adult is 0.70. The probability of selecting an adult male is 0.45. Given that a male is selected, the probability that he is an adult is:
  • Which of the following is a collection of all mutually exclusive events representing a card randomly selected from a deck of ordinary playing cards?
  • Which of the following are collectively exhaustive events representing a card randomly selected from a deck of ordinary playing cards?
  • Indicate in which one of the following situations the events $A$ and $B$ are independent:
  • Which one of the following statements is false?
  • A marginal probability might be found by any but which one of the following?
  • Which one of the following statements is not true?
  • If $A$ and $B$ are independent events, $P(A) = 0.45, P(B) = 0.60$ then $P(A \cap B)$ is
  • The probability of drawing one white ball from a bag containing 2 white, 3 blue, and 3 black balls is
  • A letter is chosen at random from the word MATHEMATICS, the probability of getting $M$ is
  • If $P(B|A) = P(B)$ then $A$ and $B$ are
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How to Convert Continuous Variables in SPSS: A Quick Guide

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There may be situations in which one may want to convert continuous variables in SPSS to categorical. For example, one may want to find out how many females earn a starting salary of more than 80,000 using the data of the University of say Florida. For this numeric data, we need to change into categorical variables. In SPSS, this type of transformation is called the recoding of continuous variables to categorical.

Convert Continuous Variables in SPSS to Categorical

Step-by-Step Procedure

In SPSS there are three basic options for recoding the variables.

  • Recode into different variables
  • Recode into the same variable
  • DO IF syntax

Recode into different variables and DO IF syntax creates a new variable without modifying the original variable, while recode into the same variable will permanently overwrite the original variable. Best to record a variable into a different variable. To recode into different variables,

Click Transform > Recode into different variables

Convert Continuous Variables in SPSS to Categorical

The Recode into different variables dialog box will appear as:

Convert Continuous Variables to Categorical in SPSS Input Variable Output variable

The left-side pane of the dialog box lists all of the variables. Select the variable of interest to recode and move the variable to the right-side pane by clicking the arrow button in between the left and right-side dialog box. Let us have the salary variable to transform.

  • Input Variable -> Output
    The center text box lists the variables(s). In this case, we have only a salary variable.
  • Output Variable
    Define the name and label (label is optional) for your recoded variable(s) by typing them in the text field. The new name of the recoded variable (say) will be “new-salary” and then click change.
  • Old and New Variables
  • Click the “old and new values” to specify the categories of the selected variable. A new dialog box will appear, where one needs to specify how to transform the values will appear.
Convert Continuous Variables to Categorical in SPSS Old new Values

Old Values and New Values

The “Old -> New” box specifies the type of value of a recode variable. For example, the value of the recode variable (new value) is 1 or range of 20000 through the highest.

A short description of “Old Values” options.

  • Value:
    Enter a numeric code that represents the category. for example, give the value 1 for 1st category or group.
  • System Missing:
    Apply any system missing value(.).
  • Range or Through:
    This option is used to enter the lower and upper limits that should be coded. The recode category includes both limits (inclusive). For example, 20000 to 40000.
  • Range, Lowest through Value:
    Recode all values greater than or equal to some number.
  • All Other Values:
    Applies any value not explicitly accounted for by the previous recoding rules.

A short description of the “Old -> New” option:

Enter the required group/ category numerical code in the “New Value” and then click the add button below. Repeat this step for each group value that you wish to recode. All the required groups are recorded by adding an “Old -> New” box. Finally, click the continue button. Click the OK button to transform the continuous variable into a categorical variable.

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MCQs Data and Variable 14

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The post is about MCQs Data and Variables. There are 20 multiple-choice questions related to variables, data, population, sample, and types of variables. Let us start with MCQs Data and Variable with Answers.

Please go to MCQs Data and Variable 14 to view the test

MCQs Data and Variable with Answers

MCQs Data and Variable with answers
  • When data are collected in a statistical study for only a portion or subset of all elements of interest we are using:
  • In statistics, a population consists of:
  • In statistics, a sample means:
  • In statistics, conducting a survey means:
  • A data set is a:
  • A variable is a:
  • An observation is the:
  • A quantitative variable is one that can:
  • A qualitative variable is the one that:
  • Time-series data are collected:
  • Cross-section data are collected:
  • Which one of the following is an example of qualitative data?
  • Which one of the following is an example of cross-section data?
  • Which one of the following is a continuous variable?
  • What tasks are involved in data cleaning? Select all that apply
  • What is the main objective of data cleaning?
  • A statistician wants to determine the total annual medical costs incurred by all districts of Pakistan from 1981 to 2001 as a result of health problems related to smoking. He polls each of the districts annually to obtain health care expenditures, in dollars, on smoking-related illnesses. Which one of the following is not a true statement?
  • A scientist is experimenting to determine the relationship between the consumption of a certain type of food and high blood pressure. He conducts a random sample on 2,000 people and first asks them a “yes” or “no” question: Do you eat this type of food more than once a week? He also takes the blood pressure of each person and records it (for example: 120/80). Which one of the following statements is true?
  • Variables whose measurement is done in terms such as weight, height, and length are classified as
  • Government and non-government publications are considered as
Statistics Help: MCQs Data and Variable with Answres

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