Determine whether the situation calls for a discrete or continuous random variable.
The number of freshmen in the required course, English 101
The braking time of a car
I think the first one discrete and the second is continous is this correct?
That's the way it seems to me. You can have fractions of seconds, but not freshmen.
Yes, you are correct.
To determine whether a situation calls for a discrete or continuous random variable, we need to consider the nature of the data and the possible values it can take.
In the first situation, the number of freshmen in the required course, English 101, the possible values are distinct and countable. It can be 0, 1, 2, and so on. Since the values are whole numbers and finite, this situation can be modeled by a discrete random variable.
In the second situation, the braking time of a car, the data represents a continuous range of values. The braking time can be any non-negative real number, such as 1.5 seconds, 2.7 seconds, or any other decimal value within a certain range. Since the values can take on any value within a range, this situation can be modeled by a continuous random variable.
So, your determination is correct. The number of freshmen in the required course, English 101, is a discrete random variable, while the braking time of a car is a continuous random variable.