# hw2 - STAT 225 - Homework 2 Due Wednesday May 27 1. This...

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Unformatted text preview: STAT 225 - Homework 2 Due Wednesday May 27 1. This homework is due Wednesday, May 27 in class, BEFORE class starts. 2. Please remember staple if you turn in more than one page. 3. You must always SHOW ALL WORK. If you do not show your work, you may not receive full credit. Do the following problems. 1. Page 54, problem 2.71. 2. Page 60, problem 2.94 + (c) What is the probability that if smoke is present, it will be detected by exactly one of the two devices? (d) Given that smoke has been detected by device B , what is the probability that it will also be detected by device A ? (e) If the smoke has not been detected by device B , what is the probability that it will be detected by device A (f) Are the two devices detecting smoke independently of each other? 3. Page 61, problem 2.99 4. Page 83, problem 2.163 5. Page 74, problem 2.128 part (a) only Comment: Recall that this is the 3 rd of the four equivalent conditions for Independence that discussed in class. Guidance: Use the Law of Total Probability: P ( A ) = ... 6. In 1982 John Hinckley was on trial, accused of having attempted to kill President Reagan. During Hinckley’s trial, Dr. Daniel R. Weinberger told the court that when individuals diagnosed as schizophrenics were given CAT scans, the scans showed brain atrophy in 30% of the cases whereas when normal people were given CAT scans the scans showed brain atrophy in only 2% of the cases. Hickley’s defense attorney wanted to introduce as evidence Hinckley’s CAT scan, which showed brain atrophy. The defense argued that the presence of atrophy strengthened the case that Hinckley suffered from mental illness (Barnett, Greenberg, Machol...
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## This note was uploaded on 07/15/2011 for the course STAT 36225 taught by Professor Tom during the Summer '09 term at Carnegie Mellon.

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hw2 - STAT 225 - Homework 2 Due Wednesday May 27 1. This...

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