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30% of students that take the SAT score over 1200. Let the random variable X represent...

30% of students that take the SAT score over 1200.

Let the random variable X represent the number of students that score over 1200 on the SAT in a random sample of 32 students.

Find the standard deviation of X.(round to 3 decimals places)

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Answer #1

Given that,

p = 0.30

q = 1 - p =1-0.30=0.70

n = 32

standard deviation= = n * p * q = 32*0.30*0.70=2.592

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