A college debating team consists of three science majors (Tyler, ...

[magmichele12]

A college debating team consists of three science majors (Tyler, Chris, and Marie) and one humanities major (Bill).
 
  Assume that samples of size 2 are randomly selected with replacement from this population. List the 16 different possible samples and find the proportion of science majors in each sample. Describe the sampling distribution of proportions and find the mean of the sampling distribution.

Question 2

A: A bird lands on your head.
  B: The bird lays an egg.
 
  A) Independent B) Dependent

[l.stuut]

Answer to Question 1

Possible samples: Tyler-Tyler, Tyler-Chris, Tyler-Marie, Tyler-Bill, Chris-Tyler, Chris-Chris, Chris-Marie, Chris-Bill, Marie-Tyler, Marie-Chris, Marie-Marie, Marie-Bill, Bill-Tyler, Bill-Chris, Bill-Marie, Bill-Bill
Proportions: 1, 1, 1, 0.5, 1, 1, 1, 0.5, 1, 1, 1, 0.5, 0.5, 0.5, 0.5, 0

The sampling distribution of proportions consists of the 16 proportions paired with the probability of 1/16.
The mean of the sampling distribution is 3/4

Answer to Question 2

A

[magmichele12]

Thank you!

[l.stuut]

Always glad to help...