SOLUTION: Find the standard deviation of the binomial random variable. According to a college​ survey, 22% of all students work full time. Find the standard deviation for the rand

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the standard deviation of the binomial random variable. According to a college​ survey, 22% of all students work full time. Find the standard deviation for the rand      Log On


   



Question 1051829: Find the standard deviation of the binomial random variable.

According to a college​ survey, 22% of all students work full time. Find the standard deviation for the random variable​ X, the number of students who work full time in samples of size 16. Round your answer to two decimal places
I used the square root *22*16*.84 but its not right am I using the right formula ?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The mean of the sample is 0.22, the probability(P) of success in the population
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The standard deviation of the sample is the square root ( (P * (1-P)) / sample size ) = square root ( (0.22 * 0.78) / 16 ) = 0.1036
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The standard deviation of the sample is 0.10
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