Consider a binomial random variable x with n = 100 and p = 0.2. n USE SALT Find the mean for the binomial random variable x. Find the standard deviation for the binomial random variable x. Use the correction for continuity and approximate P(19

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider a binomial random variable \( x \) with \( n = 100 \) and \( p = 0.2 \).

**Find the mean for the binomial random variable \( x \).**

[Input box for answer]

**Find the standard deviation for the binomial random variable \( x \).**

[Input box for answer]

**Use the correction for continuity and approximate \( P(19 < x < 25) \) using the normal approximation. (Round your answer to four decimal places.)**

\( P(19 < x < 25) = \) [Input box for answer]

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**Explanation of Diagram/Chart:**

The image includes an interactive button labeled "USE SALT," which may suggest the use of a statistical tool or calculator for computation. No additional graphs or diagrams are present.
Transcribed Image Text:Consider a binomial random variable \( x \) with \( n = 100 \) and \( p = 0.2 \). **Find the mean for the binomial random variable \( x \).** [Input box for answer] **Find the standard deviation for the binomial random variable \( x \).** [Input box for answer] **Use the correction for continuity and approximate \( P(19 < x < 25) \) using the normal approximation. (Round your answer to four decimal places.)** \( P(19 < x < 25) = \) [Input box for answer] --- **Explanation of Diagram/Chart:** The image includes an interactive button labeled "USE SALT," which may suggest the use of a statistical tool or calculator for computation. No additional graphs or diagrams are present.
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