Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success at each trial is 1/3. Provide a numerical value, to a precision of 3 decimal places, for each of the following limits. You may want to refer to the standard normal table. 1) limn→∞P((n/3)−10≤Sn≤(n/3)+10)= 2) limn→∞P(n/3−n/6≤Sn≤n/3+n/6)= 3)limn→∞P(n/3− sqrt2n/5≤Sn≤n/3+sqrt2n/5)=
Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success at each trial is 1/3. Provide a numerical value, to a precision of 3 decimal places, for each of the following limits. You may want to refer to the standard normal table. 1) limn→∞P((n/3)−10≤Sn≤(n/3)+10)= 2) limn→∞P(n/3−n/6≤Sn≤n/3+n/6)= 3)limn→∞P(n/3− sqrt2n/5≤Sn≤n/3+sqrt2n/5)=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let Sn be the number of successes in n independent Bernoulli trials, where the
1) limn→∞P((n/3)−10≤Sn≤(n/3)+10)=
2) limn→∞P(n/3−n/6≤Sn≤n/3+n/6)=
3)limn→∞P(n/3− sqrt2n/5≤Sn≤n/3+sqrt2n/5)=
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