ording to a college survey, \( 22 \% \) of all students work full time. Find the mean for the number of students who work full time in samples of size 16. Round to the nearest tenth 8 ded. A. 2.8 students B. 3.5 students C. 0.2 students D. 4.0 students

To find the mean number of students who work full time in samples of size 16, we can use the formula for the mean of a binomial distribution, which is given by: \[ \mu = n \cdot p \] where: - \( n \) is the sample size, - \( p \) is the probability of success (in this case, the proportion of students who work full time). Given: - \( n = 16 \) - \( p = 0.22 \) (which is \( 22\% \)) Now, we can calculate the mean: \[ \mu = 16 \cdot 0.22 = 3.52 \] Rounding to the nearest tenth, we get: \[ \mu \approx 3.5 \] Thus, the mean for the number of students who work full time in samples of size 16 is: **B. 3.5 students**