The article "Study on the Life Distribution of Microdrills" (J. of Engr. Manufacture, 2002: 301-305) reported the following observations, listed in increasing order, on drill lifetime (number of holes that a drill machines before it breaks) when holes were drilled in a certain brass alloy.

a. Why can a frequency distribution not be based on the class intervals 0-50, 50-100, 100-150, and so on?

b. Construct a frequency distribution and histogram of the data using class boundaries 0, 50, 100, ..., and then comment on interesting characteristics.

c. Construct a frequency distribution and histogram of the natural logarithms of the lifetime observations, and comment on interesting characteristics.

d. What proportion of the lifetime observations in this sample are less than 100? What proportion of the observations are at least 200?

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

Probability and Statistics for Engineering and the Sciences

9th edition

Authors: Jay L. Devore

ISBN: 978-1305251809

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