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**Example text**

C) Using a similar approach to compute the variance would not be practical for this example, due in part to the fact that the average is not an integer. 3. 1 as being one type of average. What is being averaged when a batting average is computed? Is this what sportswriters and baseball fans think about being averaged to obtain a batting average? Explain. Solution: A batting average is actually an average of ones and zeros, with a one being assigned when a hit is recorded and a zero assigned when an out is made.

This is one of those rare examples for which the standard deviation is equal to the average deviation between consecutive ordered numbers. Although the two statistics will hardly ever be equal in practice, they should be of the same order of magnitude. 63. Obtain the most recent salary information for professionals in your major field and, assuming it is in the form of class intervals with corresponding class frequencies, describe the distribution. Is the distribution at least close to being symmetric in regard to years in the profession?

5 even though the mean is 100. Solution: / W = me~X/m P(X<\00)= Iomme~X/mdx = I - « " 1 =-632. 50 because the exponential distribution is a rightskewed distribution, so most of the probability is at the lower end. 83. Assume that X has an exponential distribution with a mean of 80. 4518. This is most easily obtained by using appropriate software, as the following MIN1TAB commands will produce the answer: MTB> INVCDF 80; SUBOEXPO 80. 85. Assume that all units of a particular item are inspected as they are manufactured.