On September 7, 2008, the Pittsburgh Pirates lost their 82nd game of the 2008 season and tied
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a. Over the course of the streak, the Pirates have won approximately 42% of their games. For simplicity, assume the number of games they win in a given season follows a binomial distribution with n = 162 and p = 0.42. What is their expected number of wins in a season?
b. What is the probability that the Pirates will win at least 81 games in a given season? (You may use technology to find the exact binomial probability or use the normal distribution to approximate the probability by finding a z-score for 81 and then evaluating the appropriate area under the normal curve.)
c. Can you think of any factors that might make the binomial distribution an inappropriate model for the number of games won in a season?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Related Book For
Statistics The Art And Science Of Learning From Data
ISBN: 9780321755940
3rd Edition
Authors: Alan Agresti, Christine A. Franklin
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