SOLUTION: it is known that 41% of the students in a particular diploma program failed the business law exam.if 25 students take the exam, what is standard deviation for the number of failure

Question 1045396: it is known that 41% of the students in a particular diploma program failed the business law exam.if 25 students take the exam, what is standard deviation for the number of failures?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
In the case where we do not know the standard deviation of the population, we use
:
std. dev of population = square root(P*Q), where P = 0.41 and Q = 0.59, then
:
std. dev of population = square root(0.2419) = 0.4918, then
:
std. dev. of sample = std. dev. of population / square root of sample size
:
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std. dev of sample = 0.4918 / square root(25) = 0.0984 approx 0.10
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