Question 6: Let S be a binomial random variable counting the number of successes in n trials with probability of success p. You know from your studies in this course that this binomial distribution for S can be approximated by a continuous normal distribution. Why? Explain how this occurs using the concepts and terminology of this course. Your explanation should involve both convergence in probability and convergence in distribution.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Question 6:
Let S be a binomial random variable counting the number of successes in n trials with probability of
success p. You know from your studies in this course that this binomial distribution for S can be
approximated by a continuous normal distribution. Why? Explain how this occurs using the concepts
and terminology of this course. Your explanation should involve both convergence in probability and
convergence in distribution.
Transcribed Image Text:Question 6: Let S be a binomial random variable counting the number of successes in n trials with probability of success p. You know from your studies in this course that this binomial distribution for S can be approximated by a continuous normal distribution. Why? Explain how this occurs using the concepts and terminology of this course. Your explanation should involve both convergence in probability and convergence in distribution.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,