Question

in the given probability distribution, 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).

(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 \(x = 0\), \(P(0)=0.16\); \(x = 1\), \(P(1)=0.33\); \(x = 2\), \(P(2)=0.287\); \(x = 3\), \(P(3)=0.147\); \(x = 4\), \(P(4)=0.036\); \(x = 5\), \(P(5)=0.025\)

Step2: Sum the probabilities

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Wait, there is a mistake. Let's recalculate:

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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 \(1\)