It a recent study of college students indicated that 30% of all college students had at least one tattoo. A small private college decided to randomly and independently sample 15 of their students and ask if they have a tattoo. Find the standard deviation for this binomial random variable. Round to the nearest hundredth when necessary.
A) 1.77
B) 3.15
C) 4.5
D) 10.5

Question

Quizplus · Accepted Answer

The standard deviation for a binomial distribution is calculated using the formula: √(n * p * (1-p)), where n is the number of trials and p is the probability of success. Here, n = 15 and p = 0.3. So, the standard deviation is √(15 * 0.3 * 0.7) ≈ 1.77.

It a Recent Study of College Students Indicated That 30