Tag: random variable and mathematical expectation

Quizzes (3) Questions (42)

Questions Related to random variable and mathematical expectation

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

What type of variable is given below?
distance travelled from classes.

  1. discrete

  2. dependent

  3. nominal

  4. continuous
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A continuous variable is a variable whose value is obtained by measuring.
So, distance travelled from classes is an example of continuous variable.

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

The height of animals in park is a _______ variable.

  1. discrete

  2. continuous

  3. nominal

  4. dependent
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A continuous variable is a variable whose value is obtained by measuring.
The height of animals in park is a continuous variable.
Because the animals have different heights.

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Which one of the following is a continuous variable statement?

  1. how old are you?

  2. number of students in a class

  3. weight of a new born

  4. count the number of chocolates in a jar
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Continuous variable has the infinite set of the data.
So, weight of a newborn is an example of continuous variable.
Because the weight may vary from $2.3$ kg, $3.1$ kg, $4$ kg etc.

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Time taken to complete a task. The answer is an example of which type of variable?

  1. discrete

  2. dependent

  3. continuous

  4. nominal
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Continuous variable has the infinite set of the data.
So, time taken to complete a task is an example of continuous variable.
For example time taken to complete a task will be $1$ minute $10$ seconds, $1$ minute $20$ seconds, and so on.

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Continuous variable has the ______ set of the data.

  1. finite

  2. infinite

  3. composite

  4. definite
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Continuous variable has the infinite set of the data.
Example: height of students in a class
Each and every students in a class has different heights, like $56.5, 45.9, 67.8$ etc..

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Example of continuous variable is ________.

  1. number of bubbles in a fish tank

  2. time taken to complete a task

  3. are you a girl or boy?

  4. toss a coin to get head
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A continuous variable is a variable whose value is obtained by measuring.
So, time taken to complete a task is a continuous variable as it can take any value - for example, $2$ hours $2$ mins, $2$ hours $20$ seconds etc..

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Measurement of time, distance or weight are examples of ________ variable.

  1. discrete

  2. nominal

  3. continuous

  4. none of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A continuous variable is a variable whose value is obtained by measuring.
Example: 
The weight of a cat is a continuous variable as it can take any value - for example, $3.4$ kg, $3.5$ kg, $4.01$ kg, etc.

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

The statement "weight of a cow" is an example of ______ variable.

  1. continuous

  2. discrete

  3. dependent

  4. nominal
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Continuous variable has the infinite set of the data.
So, weight of a cow is a continuous variable.
Since the weight can be measured in $3.5$ kg, $12.05$ kg, $12.5$ kg, $37.9$ kg etc..

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Identify the continuous statement.

  1. toss a coin to get head

  2. are you a girl or boy?

  3. weight of animals in zoo

  4. number of bubbles in a fish tank
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A continuous variable is a variable whose value is obtained by measuring.
So, weight of animals in zoo is a continuous variable as it can take any value - for example, $3$ kg, $3.567$ kg, $4.01$ kg, etc.

Multiple choice business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

Which one of the following variable is not a continuous variable?

  1. distance

  2. height

  3. length

  4. number of cars in a street
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A continuous variable is a variable whose value is obtained by measuring.
So, distance, height and length are continuous variable.
Therefore, number of cars in a  street is not a continuous variable.