3. A Starfleet captain needs to send two crew members out on patrol. Being perpetually low on crew, the captain's choices consist of two engineering/security officers (in Red uniforms), one science officer (in a Blue uniform) and one commanding officer (in a Gold uniform). a. List all available personnel (you can name them using their uniform color). b. List all possible samples of size n=2 (sampling with replacement) and the proportion of Redshirts in each sample. (Hint: If you sample with replacement can you pick the same thing twice?) C. Create a compact sampling distribution of the sample proportion of redshirts by finding the probability of each sample. d. What is the mean of the sampling distribution (i.e. the mean of the sample proportions)? Does this target the population proportion