Question

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) through (f).

(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: Check the range of probabilities

Each probability \(P(x)\) is between \(0\) and \(1\) inclusive.
For \(x = 0\), \(P(0)=0.279\) ( \(0\leq0.279\leq1\) )
For \(x = 1\), \(P(1)=0.569\) ( \(0\leq0.569\leq1\) )
For \(x = 2\), \(P(2)=0.122\) ( \(0\leq0.122\leq1\) )
For \(x = 3\), \(P(3)=0.025\) ( \(0\leq0.025\leq1\) )
For \(x = 4\), \(P(4)=0.004\) ( \(0\leq0.004\leq1\) )
For \(x = 5\), \(P(5)=0.001\) ( \(0\leq0.001\leq1\) )

Step2: Calculate the sum of probabilities

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Answer:

This is a discrete probability distribution because each probability is between \(0\) and \(1\), inclusive, and the sum of the probabilities is \(1\)