(b) Among nine randomly selected goblets, what is the probability that at least two are seconds? To find the probability of "at least two," we must rely on the cumulative distribution function (cdf). Recall our binomial cdf is: X - Bin(n, P): B(x; n, p) = P(X S x) = b(y; n, p). Additionally, when finding the binomial y = 0 probability for a range of values, we can use the addition property. Since this function gives the probability that (X S x), and the probability of, "at least two" can be symbolized by P(X 2 2), we must remember that using the complement rule: P(X 2 x) = 1 - P(X < x). ) = 1 - a(x<[ For this experiment, the formula is: P x 2 Using the addition rule, P(X < 2) = P(0) + P %3D [r) Therefore, P(X 2 2) = 1 - + P

(b) Among nine randomly selected goblets, what is the probability that at least two are seconds? To find the probability of "at least two," we must rely on the cumulative distribution function (cdf). Recall our binomial cdf is: X - Bin(n, P): B(x; n, p) = P(X S x) = b(y; n, p). Additionally, when finding the binomial y = 0 probability for a range of values, we can use the addition property. Since this function gives the probability that (X S x), and the probability of, "at least two" can be symbolized by P(X 2 2), we must remember that using the complement rule: P(X 2 x) = 1 - P(X < x). ) = 1 - a(x<[ For this experiment, the formula is: P x 2 Using the addition rule, P(X < 2) = P(0) + P %3D [r) Therefore, P(X 2 2) = 1 - + P

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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