The assets in billions of dollars of the four wealthiest peo

The assets (in billions of dollars) of the four wealthiest people in a particular country are 46 , 27 ,19, 12. Assume that sample of size n=2 are randomly selected with replacement from this population of four values. After identify the 166 different possible samples and finding the mean of each sample, construct a table representing distribution of the sample mean. In the table, values of the sample mean that are the sample have been combined.

Solution

if draw 2 items from 4 with replacement, There are total 16 items. and the probability of sample mean distribution is

mean	Probability
46	0.0625
36.5	0.125
32.5	0.125
29	0.125
27	0.0625
23	0.125
19.5	0.125
19	0.0625
15.5	0.125
12	0.0625