Question

in the probability distribution to the right, the random variable x represents the number of hits a baseball player obtained in a game over the course of a season. complete parts (a) through (f) below
(a) verify that this is a discrete probability distribution
this is a discrete probability distribution because at least one of the probabilities is between □ and □, inclusive, and the □ of the probabilities is □
(type whole numbers. use ascending order )
at least one of the probabilities is
all of the probabilities are

Explanation:

Step1: Check probability range

For a discrete probability distribution, each probability \(P(x)\) must satisfy \(0\leq P(x)\leq1\). Looking at the given probabilities: \(0.1666\), \(0.3344\), \(0.2800\), \(0.1478\), \(0.0379\), \(0.0253\), all of them are between \(0\) and \(1\) inclusive.

Step2: Sum of probabilities

The sum of all probabilities in a discrete probability distribution must be \(1\).

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Answer:

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