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# Quiz 4 answer key Bb - NAME TA OM 210 Statistical Analysis...

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NAME _________________________________________________ TA _______________ OM 210: Statistical Analysis for Management Quiz 4: Basics of Discrete Random Variables Directions: For the questions below, write your answers next to each question. Report all probabilities as decimals rounded to four (4) decimal places. Report expected values rounded to two (2) decimal places. Report money rounded to the nearest cent. Use the backs of these pages for calculations. A volunteer fire and rescue company operating 24 × 7 receives up to as many five calls on any given day. The following data are the frequency (as the number of days) of calls over the past 180 days. x # days prob(x) E(x) 0 35 0.1944 0.0000 1 62 0.3444 0.3444 2 43 0.2389 0.4778 3 21 0.1167 0.3500 4 11 0.0611 0.2444 5 8 0.0444 0.2222 180 1.0000 1.6389 1. Are the values of this random variable discrete or continuous? 2. Are the values of this random variable mutually exclusive? (Either yes or no) 3. Are the values of this random variable independent? (Either yes or no) 4. How many calls should be expected per day? 5. What is the chance of receiving more calls per day than expected?

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