(Solved): Consider a binomial random variable \( x \) with \( n=21 \) and \( \rho=0.6 \). Find the mean for t ...

Consider a binomial random variable \( x \) with \( n=21 \) and \( \rho=0.6 \). Find the mean for the binomial random variable \( x \). Find the standard deviation for the binomial random variable \( x \). (Round your answer to three decimal places.) Use the correction for continuity and approximate \( P(x>8) \) using the normal approximation. (Round your answer to four decimal places.) \[ P(x>8)= \] You may need to use the appropriate appendix table to answer this question.