Untitled Document

SOME CONTINUOUS DISTRIBUTIONS

Uniform on (c,d)	Normal with parameters m and s	Exponential with parameter q
rectangler	bell-shaped	J-shaped, skewed to the right
Mean=(c+d)/2	m	q
Variance=(d-c)²/12	s²	q²

ACTIVITY 1.

Generating Observations from Uniform Distribution

Step 1: Click on the "Generate" button on the Statlets window at the end of this page.
Step 2: Click on the "Random numbers" button.
Step 3: Click on the "Uniform" button and type 90 in the "Sample size" box.
Step 4: Click on the "OK" button.
Step 5: Type 0 in the left window that appears, this is the c=lower limit, and type 10 in the right window, this is d=the upper limit. Click "OK".
Step 6: Select the "Histogram" then "Boxplot" from menu options.

Click on the "Input" menu option. Repeat the above steps for c=-800 and d=1200. Comment on the shape of the histogram and boxplot for these values.

ACTIVITY 2.

Generating Observations from Normal Distribution

Step 1: Click on the "Generate" button on the Statlets window at the end of this page.
Step 2: Click on the "Random numbers" button.
Step 3: Click on the "Normal" button and type 90 in the "Sample size" box.
Step 4: Click on the "OK" button.
Step 5: Type 10 in the left window that appears, this is the m=mean, and type 4 in the right window, this is s=standard deviation. Click "OK".
Step 6: Select the "Histogram" then "Boxplot" from menu options.

Click on the "Input" menu option. Repeat the above steps for m=10, then for s=40. Comment on the shape of the histogram and boxplot for these values.

ACTIVITY 3.

Generating Observations from Exponential Distribution

Step 1: Click on the "Generate" button on the Statlets window at the end of this page.
Step 2: Click on the "Random numbers" button.
Step 3: Click on the "Exponential" button and type 90 in the "Sample size" box.
Step 4: Click on the "OK" button.
Step 5: Type 5 in the window that appears, this is the q=mean. Click "OK".
Step 6: Select the "Histogram" then "Boxplot" from menu options.

Click on the "Input" menu option. Repeat the above steps for q=15, then for q=300. Comment on the shape of the histogram for these three values of q.