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5E_Exam1

# 5E_Exam1 - 5E Examination 1 Fall 2009 SCORING BREAKDOWN...

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5E. Examination 1. Fall 2009 Prof. Tashman SCORING BREAKDOWN Q 1a 1b 1c 2a 2b 3a 3b 3c 4 5a 5b 5c 6a 6b Points 4 5 4 5 5 4 5 4 10 3 5 3 3 4 Earned Q 7a 7b 8a 8b 8c 8d 9a 9b ExtraI ExtraII Total (incl Extra) Points 5 5 3 3 4 4 6 6 2 2 104 Earned 1. The following table shows the probability distribution of a random variable X: X 0 1 2 3 f(x) 0.2 0.3 0.1 0.4 Compute a) E(X) (4pts) b) var(X) (5pts) c) SD(X) (4pts) 2. The probability of rain on Saturday is 0.75. The probability of rain on Sunday is 0.20. The probability of rain on both days is 0.05. a) What is the probability of rain on Sat or Sun? (5pts) b) What is the probability of rain neither day? (5pts) 3. A math honor society has 15 members, and four members are randomly selected to form a committee. The roles of each committee member are to be identical. a) How many such committees can be formed? (4pts) b) Suppose Greg and Loren are members of the honor society. What is the probability that neither Greg nor Loren is chosen for the committee? (5pts)

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5E_Exam1 - 5E Examination 1 Fall 2009 SCORING BREAKDOWN...

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