Question

. Identify the given item as probability distribution, continuous random variable, or (I poin discrete random variable. The number of oranges purchased in a grocery store. O Probability Distribution O Continuous Random Variable O Discrete Random Variable

Answer 1

The number of oranges purchased in a grocery store is a DISCRETE RANDOM VARIABLE.

A DISCRETE RANDOM VARIABLE is one which may take on only a countable number of distinct values such as 0,1,2,3,4,........ Discrete random variables are usually counts. If a random variable can take only a finite number of distinct values, then it must be discrete.

Since the number of oranges purchased can take distinct values (0, 1, 2, 3,...) and so the variable is discrete. The variable is said to be random if the sum of the probabilities is one.