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MA 381 – 02 Fall 2017 Probability and Statistics
Take Home Quiz #2 (worth 15%) October 27, 2017
SHOW ALL OF YOUR WORK (attach additional sheets if necessary)
This is due at the beginning of class on Tuesday, October 31, 2017
1. (worth 10 points) The weekly demand for propane gas (in thousands of gallons) from a
particular manufacturing plant is a continuous random variable with probability density
function
f(x) = 2 * ( 1 – (1/x2) ), 1000 < x < 2000 a) What is the expected weekly demand? b) What is the probability that the weekly demand is between 1200 and 1500 gallons? 1 Dr. Kim Barnette MA 381 Fall 2017 2. (worth 15 points) The savings account balances at a credit union are normally distributed with a mean balance of $1500 and a standard deviation of $185. a. Approximately what proportion (or percentage) of accounts has balances between $1260 and $1400? b. Approximately what proportion (or percentage) of accounts has balances between $1550 and $1700? c. Sketch an approximate normal curve for this data and show the proportions under the curve for part a and for part b. 2 Dr. Kim Barnette MA 381 Fall 2017 3. (worth 15 points) Rehabilitation times for ankle surgery patients are normally distributed with a mean of 16 weeks and a standard deviation of 2 weeks. a. What proportion of patients requires more than 20 weeks of rehabilitation? b. What proportion of patients requires between 12 and 15 weeks? c. What is the 80th percentile rehabilitation time? Sketch an approximate normal curve for this data and show the 80th percentile rehabilitation time. 3 Dr. Kim Barnette MA 381 Fall 2017 4. (worth 10 points) Dr. Barnette needs to arrive to class at UDC on time. She leaves for UDC at 8:45am and her travel time is uniformly distributed between 15 and 35 minutes. Class starts at 9:30am. a. What is Dr. Barnette’s expected time of arrival to UDC? b. What is the probability that Dr. Barnette arrives before 9:15am? c. If it takes her 10 minutes to park her car, wait for the Building 41 elevator, and then walk to class from the elevator, what is the probability that Dr. Barnette will be in class by start time? 4 Dr. Kim Barnette MA 381 Fall 2017 ... Purchase answer to see full attachment

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