EE351KHW_9Fall2007 - distributed, with a MTBF (mean time...

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THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer Engineering EE 351K • Probability and Random Processes • Fall 2007 Assignment No. 9; Due: Thursday, November 1, 2007 Please include the following information on the first page of each assignment: (1) Your name (printed legibly), (2) Course number EE 351K , (3) Assignment Number , and (4) Due Date . Thank you. Problem (1) Consider a r.v. X that is uniformly distributed between x = -2 and x = 3. Determine the pdf for X, E[X], and V[X]. Problem 2 Consider a new notebook computer where after extensive testing it is found that the time between successive failures is exponentially
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Unformatted text preview: distributed, with a MTBF (mean time between failure) of 2.5 years. Find the probability that the time between successive failures will be greater than the MTBF. Problem 3 Today you buy four new cordless phones for your business office. Upon inquiry, the manufacturer notifies you that past performance of this particular design indicates a MTBF of 34 months. What is the probability that: (a) all four phones will be operating 34 months from now? (b) at least one (i.e., one or more) will have failed 20 months from now?...
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This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas.

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