Let's solve the problem step by step:
1. Identify What We Need to Find:
We're asked to determine the probability that the basketball player makes six free throws out of eight attempts.
2. Understand the Distribution Table:
The table shows various probabilities for making 0 to 8 free throws in a game. Let's rewrite the given information clearly:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|}
\hline \text{Number of Free Throws Made} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline \text{Probability} & 0.0000 & 0.0008 & 0.004 & 0.012 & 0.023 & 0.028 & ? & 0.000 & 0.000 \\
\hline
\end{array}
\][/tex]
The probability for making six free throws is currently unknown and is represented by [tex]\( ? \)[/tex].
3. Determine the Probability for 6 Free Throws:
According to the problem, we need to find the value of the probability for making six free throws.
Based on the correct information, the probability that the basketball player will make six free throws out of eight attempts is given as:
[tex]\[
0.28
\][/tex]
4. Solution:
Hence, the probability that the basketball player makes six free throws out of eight attempts is:
[tex]\[
0.28
\][/tex]
5. Final Answer:
After reviewing the possible choices provided (0.11, 0.21, 0.28, 0.79), we see that the correct choice is:
[tex]\[
\boxed{0.28}
\][/tex]
