Three students were asked to complete an assignment that requested they do the following: a. Flip a coin 30 times, and note the number of heads observed in the 30 flips. b. Repeat Step (a) 100 times, to obtain 100 observations of the random variable x = number of heads in 30 flips. c. Construct a dotplot of the 100 x values. Because this was a tedious assignment, one or more of the students did not really carry out the coin flipping and just made up 100 values of x that they thought would look "real." The dotplots produced by these three students are shown below. 1. Do you think that any of the three students made up the x values shown in their dotplot? If so, which ones, and what about the dotplot makes you think the student did not actually do the coin flipping? Student 1 Student 2 Student 3 66122 9 10 11 12 13 14 15 16 I= Number of heads **** 17 18 511000 **** 19 20 21