Name:_______________________
SID:_______________________
Section:_______________________
Midterm Exam #2-Math 032-F ‘07
Instructor: Devin Greene
The exam is 50 minutes long. No notes are permitted, but calculators are.
Show your work.
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Study with the several resources on Docsity
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Midterm Exam 2-Math: Problems on Sets, Probability and Statistics, Exams of Probability and Statistics
The problems and instructions for midterm exam 2 in math 032-f for the academic year '07, focusing on sets, probability and statistics. Students are not allowed to use notes but calculators are permitted. Problems include determining the union of two sets, identifying independent events, calculating the probability of a person not being in a committee, and finding the probability mass function for the difference between two rolls of a fair die.
Typology: Exams
2012/2013
1 / 7
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Name:_______________________ SID:_______________________ Section:_______________________
Midterm Exam #2-Math 032-F ‘ Instructor: Devin Greene
The exam is 50 minutes long. No notes are permitted, but calculators are. Show your work.
Let A={It rains} and let B={It pours}. Transcribe the following statement into normal English:
“Ac^ ∪B”
A group of 10 people consists of 5 men and 5 women. A committee of six is chosen at random from the 10. Betty, who is in the group of 10, hopes that she doesn’t have to serve in the committee. What is the probability that this will be the case?
You are given three coins and told that two of them are biased and that they both have a 60% chance of coming up heads. The third coin is fair. You do not know which coin is fair. You take one of the three coins at random and flip it three times. It comes up tails for all three flips. What is the probability that it is the fair coin?
A five card hand is drawn from a shuffled 52 card deck. Which one of the following pairs of events is a mutually exclusive pair?
a) There are 4 queens. There are 3 black suits. b) There are 3 2’s and 2 10’s. There are 3 hearts. c) There are exactly 3 cards of the same suit. There are 3 jacks. d) No two cards have the same rank. All cards belong to the same suit.