Consider CREF, the College Retirement Equities Fund, which manages retirement accounts for employees of nonprofit educational and research organizations. CREF manages a large and diversified portfolio in its stock account, somewhere around $121 billion. Investment in aerospace and defense represents 0.91% of this portfolio. Data on the market value of these investments are shown in Table 3.9.4.
a. Construct a histogram of this data set.
b. Based on this histogram, describe the distribution of CREF's investment in aerospace and defense.
c. Describe the shape of the distribution. In particular, is it skewed or symmetric?
d. Find the logarithm of each data value.
e. Construct a histogram of these logarithms.
f. Describe the distribution shape of the logarithms. In particular, is it skewed or symmetric?

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TABLE 3.94 CREFs Investments Portfolio Value ($ Thousands) Company AAR Corp Alliant Tedhsystems, Inc Amor Holdings, Inc BAE Systems PLC Boeing Co Echostar Communications Corp Empresa Basileira de Aeronautica S.A General Dynamics Corp General Motors Corp Heico Corp Hexcel Corp Kaman Corp Lockheed Martin Corp Moog, Inc Motlent Corp Northrop Grumman Corp Orbital Sciences Corp Panamsat Corp Pegasus Communications Corp Perkinelmer, inc Precision Cast Parts Corp Raytheon Co A Raytheon Co B Remec, Inc Rolls-Royce PLC Smith Group PLC Teledyne Technologies, Inc Thales Ex Thomson CFS) Triumph Group, Inc Zodiac S.A $2,035 5,133 1,758 31,984 364299 14,464 150,671 183,967 740 1,162 2,141 81,234 745 784 29,878 770 4,861 4,640 28371 9,822 31,952 25,787 2,147 40,110 9263 4,009 45,1 69 2,875 13,429