Tag: random variable and mathematical expectation

Questions Related to random variable and mathematical expectation

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

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

  1. discrete

  2. dependent

  3. nominal

  4. continuous

Show answer
Correct Option: D
Explanation:

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

The height of animals in park is a _______ variable.

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

  1. discrete

  2. continuous

  3. nominal

  4. dependent

Show answer
Correct Option: B
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.

Which one of the following is a continuous variable statement?

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

  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

Show answer
Correct Option: C
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.

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

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

  1. discrete

  2. dependent

  3. continuous

  4. nominal

Show answer
Correct Option: C
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.

Continuous variable has the ______ set of the data.

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

  1. finite

  2. infinite

  3. composite

  4. definite

Show answer
Correct Option: B
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..

Example of continuous variable is ________.

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

  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

Show answer
Correct Option: B
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..

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

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

  1. discrete

  2. nominal

  3. continuous

  4. none of the above

Show answer
Correct Option: C
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.

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

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

  1. continuous

  2. discrete

  3. dependent

  4. nominal

Show answer
Correct Option: A
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..

Identify the continuous statement.

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

  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

Show answer
Correct Option: C
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.

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

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

  1. distance

  2. height

  3. length

  4. number of cars in a street

Show answer
Correct Option: D
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.