Question

(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
​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.
BoldItalicUnderlineAlign
Align Left
Align Center
Align Right
Align Justify
Increase IndentIncrease IndentSpecial Characters


0 Words
(b)

​
​Part B
Based on the procedure given in Part A, what is one possible ​simulation result that represents the player hitting
consecutive
​homeruns during
times at bat?
BoldItalicUnderlineAlign
Align Left
Align Center
Align Right
Align Justify
Increase IndentIncrease IndentSpecial Characters
the numbers are 2 and 10

Answer 1

Part A
If the player hits a home run once every 10 times at bat, the probability of a home run on any one at bat is 0.1. To simulate one at bat with a random-number generator you can:

- Use a uniform random number between 0 and 1: call it r. If r < 0.1, record a home run (H); otherwise record no home run (N).
- Or use random digits 0–9: choose one digit. Let 0 represent a home run and 1–9 represent no home run.

Repeat the above 10 times to simulate 10 at bats.

Part B
One possible simulation (using the digit method) for 10 at bats:
Random digits: 3, 0, 0, 7, 5, 8, 9, 1, 4, 2
Outcomes: N, H, H, N, N, N, N, N, N, N

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