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}
& \\
\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 between 0 and inclusive, and the sum of the probabilities is 1. (Type whole numbers. Use ascending order.)
Studdy Solution
STEP 1
1. The random variable takes on discrete values.
2. The probabilities are associated with each value of .
3. For a valid discrete probability distribution, each probability must be between 0 and 1, inclusive, and the sum of all probabilities must equal 1.
STEP 2
1. Verify that each probability is between 0 and 1, inclusive.
2. Verify that the sum of all probabilities equals 1.
STEP 3
List the probabilities:
Check each probability to ensure it is between 0 and 1, inclusive:
All probabilities are between 0 and 1, inclusive.
STEP 4
Calculate the sum of all probabilities:
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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