Exam1sta4321

# Exam1sta4321 - STA4321 Name: Practice Exam 1 UFID: Show...

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STA4321 Practice Exam 1 Name: UFID: Show your work to receive full credit. A formula sheet is provided on the last page. I promise not to cheat on this exam. I understand that accessing notes programmed into my calculator constitutes cheating. I also promise not to share information about the exam with people who have not taken it yet. Signature: 1. Suppose that A and B are independent events. Show that A and B c are independent. [8 pts] 2. A study is to be conducted in a hospital to determine the attitudes of nurses toward various administrative procedures. A sample of 10 nurses is to be selected from a total of 90 nurses employed in the hospital. (A) How many diﬀerent samples of 10 nurses can be selected? [4 pts] (B) Twenty of the 90 nurses are male. If 10 nurses are randomly selected from those employed by the hospital, what is the probability that the sample of the 10 nurses will include exacly 4 male (and 6 female) nurses? [4 pts] (C) What is the probability that the sample will include 10 male (and 0 female) nurses? [4 pts]

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3. A communications network has a built-in safeguard system against failures. In this system if
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## Exam1sta4321 - STA4321 Name: Practice Exam 1 UFID: Show...

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