In order to estimate the probability of an event A, a sequence of n Bernoulli trials is carried out and the relative frequency of A is observed. How large should n be in order to have a 0.8 probability that the relative frequency is within 0.08 of p = P[A]? Hint: Use the Chebyshev inequality: for all e > 0, P[|X - E[X]>=e] <= Var[X]/e²; and the fact that p(1-p) is at most 1/4 for p in [0,1]. 196.00 232.00 144.00 179.00

In order to estimate the probability of an event A, a sequence of n Bernoulli trials is carried out and the relative frequency of A is observed. How large should n be in order to have a 0.8 probability that the relative frequency is within 0.08 of p = P[A]? Hint: Use the Chebyshev inequality: for all e > 0, P[|X - E[X]>=e] <= Var[X]/e²; and the fact that p(1-p) is at most 1/4 for p in [0,1]. 196.00 232.00 144.00 179.00

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...

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