What if the researcher decided to ignore the random selection procedures as described in the example (e.g. pulling names from a hat, using a computer program to generate random numbers)? How would this affect the results of the study?

In order to conduct an experiment, 4 subjects are randomly selected from a group of 47 subjects. How many different groups of 4 subjects are possible? The number of possible different groups is. (Type a whole number.)

A community college has 7654 students currently enrolled in classes. To gain the students' opinions about an upcoming building project, the college president wishes to obtain a simple random sample of 8 students. He numbers the students from 1 to 7654. Complete parts (a) and (b) below. (a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 2, column 4. Using this position as the starting point and proceeding downward, determine the numbers for the 8 students who will be included in the sample. The numbers for the students are _____________. (b) The president uses technology to produce the following random numbers. 6647, 7546, 5135, 795, 1216, 7546, 2732, 5137, 7350, 5135 Determine the numbers for 8 students who will be included in the sample. The numbers for the students are ______________.

A coin is flipped once. If the result is a heads, the coin is flipped 2 more times, and the result (heads or tails) of each successive flip is noted. If the result is a tails, the coin is flipped 4 more times and the result of each successive flip is noted. How many possible outcomes are in the sample space of this experiment?