Let X 1 , ... , X 20 be independent Poisson random variables with mean 1. a. Use the Markov inequality to obtain a bound on P { ∑ 1 20 X i > 15 } . b. Use the central limit theorem to approximate P { ∑ 1 20 X i > 15 } .
Let X 1 , ... , X 20 be independent Poisson random variables with mean 1. a. Use the Markov inequality to obtain a bound on P { ∑ 1 20 X i > 15 } . b. Use the central limit theorem to approximate P { ∑ 1 20 X i > 15 } .
Let
X
1
,
...
,
X
20
be independent Poisson random variables with mean 1.
a. Use the Markov inequality to obtain a bound on
P
{
∑
1
20
X
i
>
15
}
.
b. Use the central limit theorem to approximate
P
{
∑
1
20
X
i
>
15
}
.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
Finite Mathematics and Calculus with Applications (10th Edition)
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