Which of these variables are discrete and which are continuous random variables?

Question

Which of these variables are discrete and which are continuous random variables? a. The number of new accounts established by a salesperson in a year. b. The time between customer arrivals to a bank ATM c. The number of customers in Big Nick's barber shop. d. The amount of fuel in your car's gas tank. e. The number of minorities on a jury. f. The outside temperature today. The information below is the number of daily emergency service calls made by the volume teer ambulance service of Walterboro. South Carolina, for the last 50 days. To explain, there were 22 days on which there were two emergency calls, and 9 days on which there were three emergency calls.

Explanation / Answer

Discrete random variable: A random variable X, which can take only a finite number of values in an interval of the domain, is called discrete random variable.

Continuous random variable: A random variable X, which can take up any value in the domain or when its range R is an interval or the union of intervals on the real line, is called continuous random variable.

a. The number of new accounts established by a salesperson in a year. - Discrete
b. The time between customer arrivals to a bank ATM. - Continuous
c. The number of customers in Big Nick’s barber shop. – Discrete
d. The amount of fuel in your car’s gas tank.- Continuous
e. The number of minorities on a jury.- Discrete
f. The outside temperature today.- Continuous

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