# Past Exam for STAT 4705 - Statistics for Engr with Glynn at Virginia Tech (VT)

## Exam Information

 Material Type: Exam 1 Professor: Glynn Class: STAT 4705 - Statistics for Engr Subject: Statistics University: Virginia Polytechnic Institute And State University Term: Spring 1996 Keywords: License PlateTotal NumberJoint Probability FunctionProbability FunctionThe IndependentConditionalDistributionNo CorrelationCommunicationsThe Message   ## Sample Document Text

STAT 4705 TEST I Feb. 16, 1996 Name _________ _ 1. A campus license plate has 4 digits selected from 0,1,2, .... 9, where a digit may be used more than once and the first digit may be O. (a) Find the total number of possible license plates. (b) If a license plate is selected at random from all possible license plates, find the probability that all 4 digits are the same. (c) If a license plate is selected at random from all possible license plates, find the probability that the sum of the four digits is 2. (d) Given that the sum of the four digits is 2, find the conditional probability that at least one of the digits is a 1. 2. The amount of electricity used by a company in one day (in units of a thousand KWH) is a random variable with the following density ~x) {-ix' ::: (a) Find the cumulative distribution function for this distribution. (b) Find the probability that the amount used in a day exceeds one thousand KWH. (c) Find the expected amount used in a day. 3. The joint ...

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