Probability and Statistics
59 soru
A logistics officer is inspecting a shipment of combat helmets. The shipment contains large helmets, medium helmets, small helmets, and the remaining helmets are extra-large. If the officer randomly selects one helmet for quality control, what is the probability that it is an extra-large helmet? Express your answer as a fraction in simplest form.
A supply room contains 25 identical-looking computer mice, of which 10 are wireless and 15 are wired. If an IT technician randomly selects two mice from the room one after the other without replacement, what is the probability that both selected mice are wireless? (Express your answer as a decimal.)
A radar operator tracks the number of aircraft detected in their sector during consecutive hours. The hourly counts are , , , , and . What is the median number of aircraft detected per hour?
A recruiting station commander records the number of new applicants processed each day for consecutive days. The daily counts are , , , , and . Match each measure of central tendency to its correct calculated value for this data set.
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A game at a school carnival involves drawing two wooden blocks from a bag without looking. The bag initially contains 9 red blocks, 7 yellow blocks, and 5 blue blocks. If a player draws two blocks one after the other without replacing the first block, what is the probability that the first block drawn is blue and the second block drawn is yellow?
A sonar technician records the number of acoustic anomalies detected during consecutive watch shifts. The counts are , and . What is the median number of anomalies detected per shift?
A navigation briefcase contains identical-looking USB drives. of the drives contain map data, and contain communication protocols. If a pilot randomly selects two drives from the briefcase one after the other without replacing the first, what is the probability that both selected drives contain map data? Express your answer as a simplified fraction.
A motor pool dispatcher logs the number of vehicles dispatched each day from Monday to Friday. The daily totals are , , , , and . What is the mean number of vehicles dispatched per day?
A military supply depot has different types of field rations, different types of hydration packs, and different types of medical kits. A soldier must build a standardized supply bundle containing exactly different types of field rations, hydration pack, and medical kit. How many different supply bundles can be created?
A communications center needs to assemble a rapid response team from a pool of qualified technicians. The team must consist of exactly team chief and field technicians. The field technicians share identical duties. How many different rapid response teams can be formed?
A communications specialist is inventorying a batch of hand-held radios. The batch contains VHF radios, UHF radios, and dual-band radios. If one radio is randomly selected for a quality check, what is the probability that it is a VHF radio? Express your answer as a simplified fraction.
An intelligence analyst has a container of map pins used for marking locations on a briefing board. The container holds red pins, blue pins, and green pins. If the analyst randomly selects one pin from the container, what is the probability that it is a blue pin?
A logistics officer needs to form a specialized transport convoy consisting of exactly cargo trucks and security vehicle. If there are available cargo trucks and available security vehicles, how many different combinations of vehicles can be selected for the convoy?
A motor pool has a fleet of vehicles available for dispatch. The fleet consists of HMMWVs, transport trucks, and tactical ambulances. If a dispatcher selects one vehicle at random for a surprise inspection, what is the probability, expressed as a fraction in simplest form, that the selected vehicle is a tactical ambulance?
A supply room bin contains a mixture of electronic components. There are resistors, capacitors, and inductors. If a technician randomly selects one component from the bin, what is the probability that the selected component is an inductor?
A supply cabinet contains identical safety helmets, of which are yellow and are white. A construction worker randomly selects a helmet, records its color, returns it to the cabinet, and then randomly selects a second helmet. What is the probability of selecting a yellow helmet both times? Express your answer as a decimal.
A motor pool dispatcher has a set of vehicle keys on a desk. Exactly of the keys belong to trucks, and belong to sedans. If the dispatcher blindly grabs two keys, one after the other without putting the first back, what is the probability that both keys belong to trucks?
Match each counting scenario to the mathematical concept that is used to solve it.
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A military dining facility offers different main courses, different side dishes, and different beverages. If a standard meal consists of exactly one main course, one side dish, and one beverage, how many different meal combinations can be chosen?