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CHAPTER 1: RANDOM VARIABLES & PROBABILITY DISTRIBUTION STATWORK #1 Name: Grade and Section: |Student No. Date: A. Classify each random variable as either discrete or continuous. .1. The number of arrivals at an emergency room between midnight and 6 AM. .2. The weight of a bax of cereal labeled "1818 ounces." 3. The duration of the next outgoing telephone call from a business office. 4. The number of kernels of popcorn in a 11-pound container. 5. The number of applicants for a job. 6. The time between customers entering a checkout lane at a retail store. 7. The weight of refuse on a truck arriving at a landfill. 8. The number of passengers in a passenger vehicle on a highway at rush hour. 9. The number of clerical errors on a medical chart. 10. The number of accident-free days in one month at a factory.

CHAPTER 1: RANDOM VARIABLES & PROBABILITY DISTRIBUTION STATWORK #1 Name: Grade and Section: |Student No. Date: A. Classify each random variable as either discrete or continuous. .1. The number of arrivals at an emergency room between midnight and 6 AM. .2. The weight of a bax of cereal labeled "1818 ounces." 3. The duration of the next outgoing telephone call from a business office. 4. The number of kernels of popcorn in a 11-pound container. 5. The number of applicants for a job. 6. The time between customers entering a checkout lane at a retail store. 7. The weight of refuse on a truck arriving at a landfill. 8. The number of passengers in a passenger vehicle on a highway at rush hour. 9. The number of clerical errors on a medical chart. 10. The number of accident-free days in one month at a factory.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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STATISTICS & PROBABILITY OPPORTUNITY CLASS 25 26 27 28 29 P(x) 0,13 0,27 0,28 0,18 0.14 CHAPTER 1: RANDOM VARIABLES & PROBABILITY DISTRIBUTION STATWORK #1 C. Solve the following problems. Name: Student No. Grade and Section: Date: 1. Find the mean and standard deviation of the following probability distribution. A, Classify each random variable as either discrete or continuous, P(x) 1 0.15 1. The number of arrivals at an emergency room between midnight and 6 AM. 2. The weight of a box of cereal labeled "1818 ounces." 0.30 5 0.25 3. The duration of the next outgoing telephone call from a business office. 4. The number of kernels of popcorn in a 11-pound container. 5. The number of applicants for a job. 6. The time between customers entering a checkout lane at a retail store. 7. The weight of refuse on a truck arriving at a landfill, 8. The number of passengers in a passenger vehicle on a highway at rush hour, 9. The number of clerical errors on a medical chart. 7 0.30 10. The number of accident-free days in one month at a factory. 2. At a car wash, an attendant is paid according to the number of cars that are serviced during his shift. If X is the amount of income the attendant receives aver a two-hour period, compute the employee's expected earnings for two hours. The probability distribution of X is shown below: B. Determine whether or not the table is a valid probability distribution of a discrete random variable, (VES or NO) -2 2 4 P(x) 0.3 0.5 0.2 0.1 50 75 100 125 150 1,1 25 4,1 4.6 5.3 P(x) 1/7 2/7 2/7 1/7 1/7 P(x) 0,16 0,14 011 0.27 0,22 0.5 0,25 0,25 P(x) -0.4 0.5 0.1 |
Transcribed Image Text:STATISTICS & PROBABILITY OPPORTUNITY CLASS 25 26 27 28 29 P(x) 0,13 0,27 0,28 0,18 0.14 CHAPTER 1: RANDOM VARIABLES & PROBABILITY DISTRIBUTION STATWORK #1 C. Solve the following problems. Name: Student No. Grade and Section: Date: 1. Find the mean and standard deviation of the following probability distribution. A, Classify each random variable as either discrete or continuous, P(x) 1 0.15 1. The number of arrivals at an emergency room between midnight and 6 AM. 2. The weight of a box of cereal labeled "1818 ounces." 0.30 5 0.25 3. The duration of the next outgoing telephone call from a business office. 4. The number of kernels of popcorn in a 11-pound container. 5. The number of applicants for a job. 6. The time between customers entering a checkout lane at a retail store. 7. The weight of refuse on a truck arriving at a landfill, 8. The number of passengers in a passenger vehicle on a highway at rush hour, 9. The number of clerical errors on a medical chart. 7 0.30 10. The number of accident-free days in one month at a factory. 2. At a car wash, an attendant is paid according to the number of cars that are serviced during his shift. If X is the amount of income the attendant receives aver a two-hour period, compute the employee's expected earnings for two hours. The probability distribution of X is shown below: B. Determine whether or not the table is a valid probability distribution of a discrete random variable, (VES or NO) -2 2 4 P(x) 0.3 0.5 0.2 0.1 50 75 100 125 150 1,1 25 4,1 4.6 5.3 P(x) 1/7 2/7 2/7 1/7 1/7 P(x) 0,16 0,14 011 0.27 0,22 0.5 0,25 0,25 P(x) -0.4 0.5 0.1 |
3. A woman can earn 50,000 pesos in one year with a probability of 0.35 or lose 15,000 over the same period with a probability of 0,65 by investing in the stocks of a certain company, Compute her expected earnings from this investment. (Amount of Gains and Loses) P(z) 4. A company estimates that about 0,7% of their products will fail after the 1-year warranty but within two years from the date of purchase, If this happens, the company will pay a replacement cost Php3,500, If the company offers its customers an extended warranty covering a period of two years for the price of Php 480, what is the company's expected value for each extended warranty that it can sell? (Amount of Gains and Loses) P(z)
Transcribed Image Text:3. A woman can earn 50,000 pesos in one year with a probability of 0.35 or lose 15,000 over the same period with a probability of 0,65 by investing in the stocks of a certain company, Compute her expected earnings from this investment. (Amount of Gains and Loses) P(z) 4. A company estimates that about 0,7% of their products will fail after the 1-year warranty but within two years from the date of purchase, If this happens, the company will pay a replacement cost Php3,500, If the company offers its customers an extended warranty covering a period of two years for the price of Php 480, what is the company's expected value for each extended warranty that it can sell? (Amount of Gains and Loses) P(z)
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