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VI. Use THINK, SHOW, TELL to perform a simulation to answer the following questi

ID: 3048451 • Letter: V

Question

VI. Use THINK, SHOW, TELL to perform a simulation to answer the following question. Perform 10 trials. (25 points) 23. Suppose the National League team is judged to be slightly better than the American League team in a certain baseball season. Let's say that the National team has a probability of 0.6 of winning each game of the World Series. In order to win the Series, a team must win four games. Assume that the probability of winning a game is independent of the winloss record for preceding games. On the average, how many games can be expected to be played to win the World Series? 7103 50 9 00143 3 6 7494977 2 719 967 582761191596392 4 4 6 2 10 63 5 1 1 9 1 8 4 4 2 7 18 6 8 3 78 2 3 12 14 9 9 67469 6 92 719 9 1 3 6 8 0 9 74 19 2775678 87 4 1484 0 9 4 1903 4 3 9 09 9 9477 2 5 3

Explanation / Answer

X:-Player to win the world series.

E(x)= sum(fi*xi)/sum(fi)

= 642/132

E(X) = 4.86363

observation(x) frequancy(fi) x*fi 0 9 0 1 18 18 2 10 20 3 11 33 4 16 64 5 6 30 6 12 72 7 18 126 8 9 72 9 23 207 total-> sum(fi)=132 sum(fi*xi)=642