Random Variables and Probability Distributions
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Classify each random variable as either discrete or continuous.
- The number of arrivals at an emergency room between midnight and 6:00 a.m.
- The weight of a box of cereal labeled "18 ounces".
- The duration of the next outgoing telephone call from a business office.
- The number of kernels of popcorn in a 1-pound container.
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The number of applicants for a job.
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Classify each random variable as either discrete or continuous.
- The time between customers entering a checkout lane at a retail store.
- The weight of refuse on a truck arriving at a landfill.
- The number of passengers in a passenger vehicle on a highway at rush hour.
- The number of clerical errors on a medical chart.
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The number of accident-free days in one month at a factory.
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Classify each random variable as either discrete or continuous.
- The number of boys in a randomly selected three-child family.
- The temperature of a cup of coffee served at a restaurant.
- The number of no-shows for every 100 reservations made with a commercial airline.
- The number of vehicles owned by a randomly selected household.
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The average amount spent on electricity each July by a randomly selected household in a certain state.
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Classify each random variable as either discrete or continuous.
- The number of patrons arriving at a restaurant between 5:00 p.m. and 6:00 p.m.
- The number of new cases of influenza in a particular county in a coming month.
- The air pressure of a tire on an automobile.
- The amount of rain recorded at an airport one day.
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The number of students who actually register for classes at a university next semester.
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Identify the set of possible values for each random variable. (Make a reasonable estimate based on experience, where necessary.)
- The number of heads in two tosses of a coin.
- The average weight of newborn babies born in a particular county one month.
- The amount of liquid in a 12-ounce can of soft drink.
- The number of games in the next World Series (best of up to seven games).
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The number of coins that match when three coins are tossed at once.
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Identify the set of possible values for each random variable. (Make a reasonable estimate based on experience, where necessary.)
- The number of hearts in a five-card hand drawn from a deck of 52 cards that contains 13 hearts in all.
- The number of pitches made by a starting pitcher in a major league baseball game.
- The number of breakdowns of city buses in a large city in one week.
- The distance a rental car rented on a daily rate is driven each day.
- The amount of rainfall at an airport next month