Question

answer like a teen
(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.
​
​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.
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(b)

​
​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?
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Answer 1

(a) Okay so here’s an easy way to simulate it: the player hits a homerun 1 out of every 10 times, so you can use a random-number generator that makes numbers 1–10 (or decimals 0–1). For each at‑bat:
- Generate one random number.
- If you get 1 (or if decimal < 0.1) call it a homerun (H).
- If you get 2–10 (or decimal ≥ 0.1) call it not a homerun (N).
Do that 10 times (one number per at‑bat) to simulate 10 at‑bats. Repeat the whole 10‑at‑bat run as many times as you want.

(b) One possible simulation result showing 2 consecutive homeruns in 10 at‑bats:
- Random numbers: 4, 1, 1, 8, 9, 3, 7, 2, 6, 5
- Outcomes: N, H, H, N, N, N, N, N, N, N
(At‑bats 2 and 3 are back‑to‑back homeruns.)