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# tut6 - COMP211 Data and System Modeling(PROB/STAT...

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1 of 2 COMP211 Data and System Modeling (PROB/STAT) Tutorial (Week 6) 1. Computer chips often contain surface imperfections. For a certain type of computer chip, the probability mass function of the number of defects X is presented in the following table. x 0 1 2 3 4 p(x) 0.4 0.3 0.15 0.10 0.05 a. Find ) 2 ( X P b. Find ) 1 ( X P c. Find X d. Find 2 X 2. A certain type of component is packaged in lots of four. Let X represent the number of properly functioning components in a randomly chosen lot. Assume that the probability that exactly x components function is proportional to x ; in other words, assume that the probability mass function of X is given by, 4 , 3 , 2 , 1 0 ) ( x cx otherwise x f where c is a constant. a. Find the value of the constant c so that p(x) is a probability mass function. b. Find P(X=2) . c. Find the mean number of properly functioning components. d.

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• Spring '12
• Dr.Kwok
• Probability theory, probability density function, Cumulative distribution function, properly functioning components

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tut6 - COMP211 Data and System Modeling(PROB/STAT...

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