45 Beach erosional hot spots. The U.S. Army Corps of Engineers did a study of beach erosional hot spots. The data on the nearshore bar condition for six beach hot spots are reproduced in the accompanying table. Suppose you randomly select two of these six beaches and count x , the total number in the sample with a planar nearshore bar condition.

a. List all possible pairs of beach hot spots that can be selected from the six.

b. Assign probabilities to the outcomes in part a.

c. For each outcome in part

a, determine the value of x .

d. Form a probability distribution table for x .

e. Find the expected value of x . Interpret the result.

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Beach Hot Spot Miami Beach, FL Coney Island, NY Nearshore Bar Condition Single, shore parallel Other Surfside, CA Single, shore parallel Monmouth Beach, NJ Planar Ocean City, NJ Other Spring Lake, NJ Planar Based on Identification and Characterization of Erosional Hotspots, William & Mary Virginia Institute of Marine Science, U.S. Army Corps of Engineers Project Report, March 18, 2002.