samplemidterm1

samplemidterm1 - AMS 310 MIDTERM I NAME _ Total score: 120...

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AMS 310 10/22/2007 MIDTERM I NAME _______________________ ID ________________________ Total score: 120 points Show all your work for full credit 1. (15 points) Given a set of observations 3.5 1.4 6.6 6.0 4.2 4.4 5.3 5.6 6.8 2.5 5.4 (a) Find the 90 th percentile. (b) Find the minimum, maximum, range, and interquartile range. (c) Draw a boxplot. 2. (12 points) X is a discrete random variable with probability distribution P(X= -1)=0.1, P(X=0)=0.2, P(X=1)=0.2, P(X=3)=0.3, P(X=5)=0.2 (a) Find P(X<0.5), P(X<1), P(X<4.2), and P(X<6) (b) Compute the mean and variance of X.
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3. (12 points) A shipment contains 6 defective items and 14 non-defective items. 5 items are selected at random without replacement. Let X be the number of defective items obtained, (a) find the distribution of X (no just the name of the distribution!); (b) what is the probability that at least 3 defective items will be obtained? 4. (12 points) A fair coin is thrown repeatedly. What is the probability that on the n
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This note was uploaded on 03/06/2010 for the course AMS 310 taught by Professor Mendell during the Spring '08 term at SUNY Stony Brook.

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samplemidterm1 - AMS 310 MIDTERM I NAME _ Total score: 120...

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