Dut Trenta and his friends play a game where they will win the amount indicated in the boxes they will pick. In Box 1, 2, 3, 4, 5, and 6, the prizes are 500, 1000, 500, 800, 1500, and 2000...

use sampling distribution of x_bar and also with complete solution please. thank you!


Extracted text: Dut Trenta and his friends play a game where they will win the amount indicated in the boxes they will pick. In Box 1, 2, 3, 4, 5, and 6, the prizes are 500, 1000, 500, 800, 1500, and 2000 respectively. A random sample of 3 boxes were selected without replacement. Let X be the amount indicated inside a box. a. Find the sampling distribution of X. b. Find the mean and standard deviation of X.