What best explains the law of large numbers? • a. As the sample size (observations) increases, the pˆ (proportion of realized heads) will converge to p (probability of getting a head) • b. As the population size (observations) increases, the pˆ (proportion of realized heads) will converge to p (probability of getting a head) • c. As the sample size (observations) increases, the pˆ (proportion of realized heads) will not converge to p (probability of getting a head) • d. both a and b

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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What best explains the law of large numbers?

• a. As the sample size (observations) increases, the pˆ (proportion of realized heads) will converge to p (probability of getting a head)

• b. As the population size (observations) increases, the pˆ (proportion of realized heads) will converge to p (probability of getting a head)

• c. As the sample size (observations) increases, the pˆ (proportion of realized heads) will not converge to p (probability of getting a head)

• d. both a and b

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