practice_prel2_f08

# practice_prel2_f08 - Engineering Statistics ENGRD270...

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Engineering Statistics ENGRD270 Practice Problems for Prelim No.2 Fall 2008 Appropriate statistical tables (from the text book) will be provided to answer the questions. 1. Suppose that the amount of water (in grams) produced in a particular chemical reaction can be modeled by a random variable X having probability density function given by f ( x ) = ( 1 2 x, 0 x 2 0 , else (a) What is the probability that more than 1 gram of water is produced? (b) What is the conditional probability that more than 1 gram of water is produced, given that at least 0.5 grams is produced? (c) What is the value of c such that 90% of all reactions of this type will produce more than c grams of water? (d) What is the standard deviation of the amount of water produced? 2. [Know your Chloresterol level.] According to the Framingham study, the blood chloresterol level of U.S. adults is approximately normally distributed with mean 213 mg/dl and standard deviation 44.8 mg/dl.

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