Values of a random variable area)always positive numbers.b)always posi...
Explanation:
Random variable is a variable whose value is subject to variations due to chance, i.e., it is a variable whose value is determined by the outcome of a random event. The values of a random variable can be classified into four categories:
a) Always positive numbers: This is not always true for all random variables. For example, the outcome of a coin toss can be either heads or tails, which are not positive numbers.
b) Always positive real numbers: This is also not always true for all random variables. For example, the outcome of rolling a six-sided die can be any integer from 1 to 6, which are not necessarily positive real numbers.
c) Real numbers: This is the correct answer. The values of a random variable can be any real number. For example, the height of a person, the weight of an object, or the temperature in a room can all be random variables that take on real number values.
d) Natural numbers: This is not always true for all random variables. For example, the outcome of rolling a six-sided die can be any integer from 1 to 6, which are natural numbers, but the outcome of flipping a coin cannot be a natural number.
In conclusion, the values of a random variable can be any real number, which is option 'C'.
Values of a random variable area)always positive numbers.b)always posi...
~Random variables are quantitative data.
~It is not necessary for data to be positive.[so option (a) and (b) can not be the answer]
Real numbers include rational and irrational numbers which can be placed on a number line such as ...-2, -1, 0, 1, 2...
And also natural numbers only include positive integers such as 1, 2, 3...[so option (d) can not be the answer]
So, the ans is (c) Real numbers
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