1.

8000 1500 6000 10000 1000 4000 Frequency Frequency Frequency 5000 500 2000 50 100 150 200 250 300 50 100 150 200 250 300 50 100 150 200 250 300 (a) (b) (c) The 3 histograms above are generated in one of the following way: 1. Generate a sample of size n = 100000 from X ~ N(150; 502), draw the histogram of this sample 2. Take 10000 samples of size n = 100 from the discrete distribution 0 50 100 150 200 250 300 P(x) 7 compute the sample mean of each sample and draw an histogram of these sample means 3. Generate a sample of size n = 100000 from the discrete distribution 0 50 100 150 200 250 300 P(X) 7 and draw the histogram of this sample Identify which histogram corresponds to each simulation. Explain how you reach your conclusion in as much detail as possible