Question

Which of the following random variables are continuous? The time that an individual spend talking on their phones during a given week. The number of 911 calls responded daily by the NYC police The daily rentals rates for luxury cars in the US Provide your own examples of at least 2 more continuous variables and explain why they are continuous.

Answer 1

The time that an individual spends talking on their phones during a given week is a continuous random variable, while the number of 911 calls responded daily by the NYC police is a discrete random variable. The daily rental rates for luxury cars in the US is a continuous random variable. Additional examples of continuous random variables include the temperature at different locations and the height of students in a classroom.

Step-by-step explanation:

The random variable that represents the time that an individual spends talking on their phones during a given week is a continuous random variable. This is because the time can vary continuously and can be measured in fractions of minutes.

The random variable that represents the number of 911 calls responded daily by the NYC police is a variable. This is because the rental rates can vary continuously and can be measured in fractions of dollars.

Two more examples of continuous random variables include:

1. The temperature in degrees Celsius at different locations
2. The height of students in a classroom

Both of these examples can take on any value within a certain range and can be measured precisely.