EL ENG 126 Midterm: ee126-fa1996-mt1-Ren-exam

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Suppose there exists a test for cancer with the following properties. = event that the test states that the tested person has cancer. A company produces computer chips at the defective rate of 10%. The good chips have much longer life than defective ones. The lifetime of good chips has the following cdf: 0 while the lifetime of defective chips has the following cdf: Compute the pdf of the lifetime of an arbitrarily picked chip. Five people want to play a game of two against two. To decide who should be left out, each of the ve people tosses a fair coin. If after one round of tossing, the result is one head and 4 tails, or one tail and 4 heads, the person whose outcome is different from the rest of the group is out. X has the density function f x x.

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