Math  /  Data & Statistics

QuestionIn 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. \begin{tabular}{cc} x\mathbf{x} & P(x)\mathbf{P ( x )} \\ \hline 0 & 0.1662 \\ 1 & 0.3355 \\ 2 & 0.2851 \\ 3 & 0.1494 \\ 4 & 0.0389 \\ 5 & 0.0249 \\ \hline \end{tabular} (a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because \square between 0 and \square inclusive, and the \square sum of the probabilities is 1. (Type whole numbers. Use ascending order.)

Studdy Solution
Calculate the sum of all probabilities:
0.1662+0.3355+0.2851+0.1494+0.0389+0.0249=1.0000 0.1662 + 0.3355 + 0.2851 + 0.1494 + 0.0389 + 0.0249 = 1.0000
The sum of all probabilities is 1.
This is a discrete probability distribution because each probability is between 0 and 1 inclusive, and the sum of the probabilities is 1.

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