Question

is the random variable given in the accompanying table discrete or continuous? explain
the random variable given in the accompanying table is discrete because

• the probabilities are decimal values.
• at least one probability is less than 0 or greater than 1.
• the probabilities are all between 0 and 1, inclusive.
• there are a finite number of values.
• there are infinitely many values, and they are not countable.
• there are infinitely many values, and they are countable.
• the probabilities do not add up to 1.
• the probabilities add up to 1.

Explanation:

A discrete random variable has a countable number of possible values. In the given table, the number of girls (x) can take on only 5 specific non - negative integer values (0, 1, 2, 3, 4), which is a finite and countable set. The fact that probabilities are between 0 and 1 and sum to 1 is a property of probability distributions, but the key factor for discreteness here is the finite number of values.

Answer:

there are a finite number of values