Selecting one professor to be a member of the university senate and then selecting one professor from the same group to be a member of the curriculum committee is a

a. sampling with replacement,

b. sampling without replacement

b. sampling without replacement

Step-by-step explanation:

Sampling without replacement is a sampling technique in which when a unit or sample is selected from a population is not returned before another unit is selected from the population at random. When you sample with replacement, your two items are independent. In other words, one does not affect the outcome of the other. The population size remains the same.

Considering the question one professor is selected to be a member of the university senate and then selecting one professor from the same group to be a member of the curriculum committee. This implies that the senate and curriculum committee are not independent because there is a professor linking both together. For this reason it is impossible for the senate and curriculum committee to both have a complete population size if they hold meeting simultaneously. I will conclude the sampling technique is sampling without replacement.