Suppose that the probability of a hurricane striking a state in any single year is 1 in 10 and that this probability has been the same for the past 1000 years. Which of the following is implied by the law of large​ numbers? A) The state has been hit by close to​ (but not necessarily​ exactly) 100 hurricanes in the past 1000 years because as the years​ increase, the closer the proportion of hurricanes should be to 0.1. B) If no hurricanes have hit the state in the past 10​ years, then the probability of a hurricane hitting next year is greater than 0.1 because the state is due for a hurricane. C) The state has been hit by close to​ (but not necessarily​ exactly) 100 hurricanes in the past 1000 years because as the years​ increase, the proportion of hurricanes that hit the state should decrease. D)The state has been hit by exactly 100 hurricanes in the past 1000 years because 100 is how many times the state was expected to be hit by hurricanes. E) If no hurricanes have hit the state in the past 10​ years, then the probability of a hurricane hitting next year is greater than 0.1 because every year without a hurricane increases the next​ year's probability.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that the probability of a hurricane striking a state in any single year is 1 in 10 and that this probability has been the same for the past 1000 years. Which of the following is implied by the law of large​ numbers?

A) The state has been hit by close to​ (but not necessarily​ exactly) 100 hurricanes in the past 1000 years because as the years​ increase, the closer the proportion of hurricanes should be to 0.1.
B) If no hurricanes have hit the state in the past 10​ years, then the probability of a hurricane hitting next year is greater than 0.1 because the state is due for a hurricane.
C) The state has been hit by close to​ (but not necessarily​ exactly) 100 hurricanes in the past 1000 years because as the years​ increase, the proportion of hurricanes that hit the state should decrease.
D)The state has been hit by exactly 100 hurricanes in the past 1000 years because 100 is how many times the state was expected to be hit by hurricanes.
E) If no hurricanes have hit the state in the past 10​ years, then the probability of a hurricane hitting next year is greater than 0.1 because every year without a hurricane increases the next​ year's probability.

 
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