Question

explain in the most simplest way
(a)
In analyzing a baseball team’s performance over several seasons, the coach ​observed that a particular baseball player hit a home run once every 10​times at bat.
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​Part A
Explain a procedure for using a random number generator to ​simulate the baseball player’s hitting outcome as either a homerun or ​not a homerun assuming the pattern continues as described above.

(b)

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​Part B
Based on the procedure given in Part A, what is one possible ​simulation result that represents the player hitting 2 consecutive homeruns during 10 times at bat?

Answer 1

(a) Simple procedure
1. Decide how to represent a home run (HR). For example, if you generate whole numbers 1–10, let the number 1 mean “home run” and 2–10 mean “not a home run.” (Or, if you use random decimals 0–1, treat any number ≤ 0.1 as a home run and > 0.1 as not.)
2. Use the random number generator to produce 10 independent random values (one for each at-bat).
3. For each generated value, apply your rule: if it equals 1 (or ≤ 0.1) record H, otherwise record N.
4. The resulting list of H and N is one simulated sequence of 10 at-bats.

(b) One possible simulation result
- Random integers 1–10 drawn for 10 at-bats: 4, 1, 1, 8, 10, 3, 9, 2, 6, 7
- Map to outcomes (1 = H, others = N): N, H, H, N, N, N, N, N, N, N

This sequence shows 2 consecutive home runs (at-bats 2 and 3).