a. Use a computer (or random number table) and generate a random sample of 100 observations drawn from the discrete probability population P(x) _ 5 – x/10 for x _ 1, 2, 3, 4 List the resulting sample. (Use the computer commands in Exercise
5.36; just change the arguments.)
b. Form a relative frequency distribution of the random data.
c. Form a probability distribution of the expected probability distribution. Compare the resulting data with your expectations.
d. Construct a probability histogram of the given distribution and a relative frequency histogram of the observed data using class midpoints of 1, 2, 3, and 4.
e. Compare the observed data with the theoretical distribution. Describe your conclusions.
f. Repeat parts a–d several times with n _ 100 . Describe the variability you observe between samples.