# Quiz for STAT 3401 - Introduction to Probability Theory I at Cal State-East Bay (CSUEB)

## Quiz Information

 Material Type: Quiz 2 Professor: Staff Class: STAT 3401 - Introduction to Probability Theory I Subject: Statistics University: California State University-East Bay Term: Spring 2005 Keywords: Parking LotDistributionThe IndependentConditionalProbability DistributionDensity FunctionRandomly SelectedProbability.Random Variable

## Sample Document Text

Stat 3401/4412 Spring 2005 Jaimie Kwon Name____________________ Quiz #2 . Open book and open note. Use a simple calculator if necessary. Show your work. 1. (6 pts) A parking lot has two entrances. Cars arrive at entrance I according to Poisson distribution at an average rate of three per hour and at entrance II according to a Poisson distribution at an average of four per hour. Assume that the numbers of cars arriving at the two entrances are independent. a. What is the probability that a total of two cars will arrive at the parking lot in a given hour? b. What is the conditional probability that only one car has arrived at the entrance I in a given hour, given that the total of two cars have arrived at the parking lot in the given hour? 2. (12 pts) The length of time to failure (in hundreds of hours) for a transistor is a random variable Y with distribution function given by ? ? ? ?? < = ? 0,1 0,0 )( ye y yF y (Or, F(y)=0 if y is less than 0 ...

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