Question
Question: A person on a high protein diet is interested in the random variable X, the gain in weight in a week...
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
Solution
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 0.5kg 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.