Question

according 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 as needed.

a. 2.8 students
b. 0.2 students
c. 4.0 students
d. 3.5 students

Explanation:

Step1: Identify the formula

For a binomial distribution, the mean $\mu = np$, where $n$ is the sample - size and $p$ is the probability of success.

Step2: Substitute values

Here, $n = 16$ (sample size) and $p=0.22$ (probability that a student works full - time). So, $\mu=np = 16\times0.22$.

Step3: Calculate the result

$16\times0.22 = 3.52$.

Step4: Round the result

Rounding $3.52$ to the nearest tenth gives $3.5$.

Answer:

D. 3.5 students