# Tut10 - deviation of 20 lbs Would you board this elevator or wait for the next one 3 Insurance company has 10,000 automobile policyholders The

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COMP211 Data and System Modeling (PROB/STAT) Tutorial (Week 10) 1. a) Suppose that the average household income in some country is 900 coins, and the standard deviation is 200 coins. Assuming the Normal distribution of incomes, compute the proportion of “middle class”, whose income is between 600 and 1200 coins. b) The government of the country in part (a) decides to issue food stamps to the poorest 3% of households. Below what income will families receive food stamps? 2. You wait for an elevator, whose capacity is 2000 pounds. The elevator comes with ten adult passengers. Suppose your own weight is 150 lbs, and you heard that human weights are normally distributed with the mean of 165 lbs and the standard

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Unformatted text preview: deviation of 20 lbs. Would you board this elevator or wait for the next one? 3. Insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is \$240 with a standard deviation of \$800. Approximate the probability that the total early claim exceeds \$2.7 million. 4. A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the mean lifetime of this type of component is 100 hours and its standard deviation is 30 hours, how many of these components must be in stock so that the probability that the system is in continual operation for the next 2,000 hours is at least .95...
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## This note was uploaded on 04/08/2012 for the course COMP 211 taught by Professor Dr.kwok during the Spring '12 term at Hong Kong Polytechnic University.

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Tut10 - deviation of 20 lbs Would you board this elevator or wait for the next one 3 Insurance company has 10,000 automobile policyholders The

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