Question

A discrete random value can take any value within an interval on the real line. False true

Answer 1

"A discrete random value can take any value within an interval on the real line." - This statement is false.

1. Random values can be of two types:

• Discrete random values are those values which can take only cetain finite values and no arbitrary values. A discrete value is always an integer.

For example, the number of students in a class is a discrete value because it can only be an integer. We cannot have any real number here., i.e, the number of students can be 50 or 60 but it cannot be 50.5 or 60.3.

• Continuous random values are those values which can take any value between two given values. It is a real number.

For example, the wieght of all the students in a class is a continuous value because it covers all the points between two values. Say, if one child weighs 45 kg then we can have another child weighing 45.5 kg.

   2. Thus, from the above discussion we can conclude that a discrete random value cannot take any value within an interval on the real line.

So, the answer is False.