Refer to given Exercise.
a. For each of the ten possible samples listed in part (a) of given Exercise, give the value of the range R = H - L, where H is the highest number and L is the lowest number.
b. Use the results of part (a) to find the probability that R = 4.
c. Summarize the results of part (a) into a table showing the sampling distribution of R. To do this, list each possible value for R along with the probability that the value would occur.
d. Which value of R is most likely to occur? Which value is least likely to occur?
Exercise
Suppose that a simple random sample of n = 2 numbers will be selected from the list of values 1, 2, 3, 4, 5.
a. There are ten possible equally likely samples of n = 2 numbers that could be selected (1 and 2, 1 and 3, etc.) List the ten possible samples, and give H = highest number for each sample.
b. Summarize the results of part (a) into a table showing the sampling distribution of H. To do this, list each possible value for H along with the probability that the value would occur.
c. Which value is most likely to be the highest number in the sample?