On average, (6 %) of the citizens of a large town suffer from severe hypertension. Let (X)

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On average, $6 \%$ of the citizens of a large town suffer from severe hypertension. Let $X$ be the number of people in a sample of $n$ randomly selected citizens from this town which suffer from this disease.

(1) By making use of Chebyshev's inequality find the smallest positive integer $n_{\text {min }}$ with property

\[P\left(\left|\frac{1}{n} X-0.06\right| \geq 0.01\right) \leq 0.05 \text { for all } n \text { with } n \geq n_{\min }\]

(2) Find a positive integer $n_{\min }$ satisfying this relationship by using theorem 5.6 .

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:01 PM

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On average, (6 %) of the citizens of a large town suffer from severe hypertension. Let (X)

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Applied Probability And Stochastic Processes

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