Question

Many random number generators allow users to specify the

range of the random numbers to be produced. Suppose you
specify that the random number Y can take any value
between 0 and 4. Then the density curve of the outcomes
has constant height between 0 and 4 and height
O elsewhere.
Macmillan Learning
Is the random variable Y discrete or continuous?
Why? Identify the correct explanation.
O The random variable Y is discrete, because the
length of the interval [0,4] is finite.
O The random variable Y is continuous, because the
length of the interval [0,4] is finite.
O The random variable Y is continuous, because
there is an infinite number of possible values in
the interval [0,4].
O The random variable Y is discrete, because the
sample space (0,4) is finite.

Answer 1

The random variable Y is continuous because there is an infinite number of possible values in the interval [0,4].

Step-by-step explanation:

The random variable Y is continuous, because there is an infinite number of possible values in the interval [0,4]. In a continuous random variable, the outcomes can take on any value within a given interval, including fractions and decimals. In this case, Y can be any number between 0 and 4, so it is continuous.

Learn more about Types of random variables