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This is a Korean CSAT mathematics numerical-answer problem. Solve it and put only the final integer value inside \boxed{}.
Problem 29 Letabe a natural number witha≤6. Using one die and one coin, perform the following experiment. Roll the die once. – If the outcome is less than or equal toa, toss the coin 5 times and record the number of heads. – If the outcome is greater thana, toss the coin 3 times and record the number of heads. Repeat this experiment 19200 times, and letXbe the number of times the recorded value is 3. Suppose that E(X) = 4800. Using the standard normal table on the right, compute P(X≤4800 + 30a), and let this value bek. Compute 1000×k. [4 points] z P(0≤Z≤z) 0.5 0.191 1.0 0.341 1.5 0.433 2.0 0.477 2.5 0.494 3.0 0.499 12
\boxed{977}
Comparative Analysis (P28) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.