If for one half of n-events, the chance of success is p and the chance of failure q whilst for the other half the chance of success q and of failure is p, show that the S.D. of the number of successes is npq.

If for one half of n-events, the chance of success is p and the chance of failure q whilst for the other half the chance of success q and of failure is p, show that the S.D. of the number of successes is npq.

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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Question

If for one half of n-events, the chance of success is p and the
chance of failure q whilst for the other half the chance of success is q and of
failure is p, show that the S.D. of the number of successes is npq.

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