Question

part 1 of 3
in the probability distribution to the right, the random variable x represents the number of marriages an individual aged 15 years or older has been involved in. complete parts (a) and (b) below.
(a) verify that this is a discrete probability distribution. this is a discrete probability distribution because between and inclusive, and the of the probabilities is (type whole numbers. use ascending order.)

Explanation:

Step1: Sum of probabilities

For a discrete probability distribution, the sum of all probabilities \(P(x)\) must equal \(1\).

$$
LATEXBLOCK0
$$

Step2: Calculate the sum

$$
LATEXBLOCK1
$$

Answer:

Since the sum of the probabilities \(P(x)\) for \(x = 0,1,\cdots,5\) is \(1\), this is a discrete probability distribution.