Consider a binomial random variable x with n = 100 and p = 0.2. 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(x 2 23) using the normal approximation. (Round your answer to four decimal places.) P(x ≥ 23) =

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Consider a binomial random variable \( x \) with \( n = 100 \) and \( p = 0.2 \).

**Use SALT** [Button]

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

   [Input Box]

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

   [Input Box]

3. Use the correction for continuity and approximate \( P(x \geq 23) \) using the normal approximation. (Round your answer to four decimal places.)

   \( P(x \geq 23) = \) [Input Box]
Transcribed Image Text:Consider a binomial random variable \( x \) with \( n = 100 \) and \( p = 0.2 \). **Use SALT** [Button] 1. Find the mean for the binomial random variable \( x \). [Input Box] 2. Find the standard deviation for the binomial random variable \( x \). [Input Box] 3. Use the correction for continuity and approximate \( P(x \geq 23) \) using the normal approximation. (Round your answer to four decimal places.) \( P(x \geq 23) = \) [Input Box]
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