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
A)16. 2.75
B)3.52
C)1.66
D)1.88

Question

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 
A)16. 2.75
B)3.52
C)1.66
D)1.88

Quizplus · Accepted Answer

The standard deviation of a binomial distribution is calculated using the formula: √(n * p * (1-p)), where n is the sample size and p is the probability of success. For n = 16 and p = 0.22, the standard deviation is √(16 * 0.22 * 0.78) ≈ 1.66.

Find the Standard Deviation of the Binomial Random Variable