Question

A person on a high protein diet is interested in the random variable X, the gain in weight in a week. Then the random variable is: -
A.Not continuous
B.Not discrete
C.Continuous
D.Discrete

Answer 1

Hint: The probability distribution gives the possibility of each outcome of a random experiment or events. It provides the possibilities of different possible outcomes. It is also defined based on the underlying sample space as a set of possible outcomes of any random experiment.
Here we will be using the concept of probability distribution.


Complete step by step solution:
A person on a high protein diet is interested in random variables and gains weight in a week.
Random experiments are defined as the result of an experiment, whose outcome cannot be predicted.
Random variables can be discrete (not constant) or continuous or both.
Discrete Probability Distribution: A distribution is called discrete, when the set of outcomes are discrete in nature. For example, if a die is rolled then all possible outcomes are discrete and give a mass of outcomes.
Continuous probability distribution: In this distribution, the set of possible outcomes can take on values on a continuous range . For example, a set of real numbers is a continuous or normal distribution, as it gives all the possible outcomes of real numbers.
So we can suppose that it can be any no. like $2.1$ kg in the first week and gain $0.5$kg in the second week.
So, it is a continuous random variable which can take any value within some limits.
Therefore option C is the correct option.


Note: In these types of problems we should know all the terms related to distribution of probability and how many types and how to apply it.