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Questions and Answers
If one household in the United States is selected at random, what is the probability that the selected household will own a dog or a cat?
If one household in the United States is selected at random, what is the probability that the selected household will own a dog or a cat?
What is the probability that the device will not fail in one year?
What is the probability that the device will not fail in one year?
What is the probability that a contestant's final winnings are exactly $2,000?
What is the probability that a contestant's final winnings are exactly $2,000?
How many female students surveyed would be expected to have brown eyes?
How many female students surveyed would be expected to have brown eyes?
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What is the probability that a bag that triggers the alarm will actually contain forbidden material?
What is the probability that a bag that triggers the alarm will actually contain forbidden material?
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Which statement regarding dogs from the animal shelter is correct?
Which statement regarding dogs from the animal shelter is correct?
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What is the probability that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit?
What is the probability that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit?
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What is the approximate probability that a future tropical storm will originate in the Pacific Ocean and be classified as major?
What is the approximate probability that a future tropical storm will originate in the Pacific Ocean and be classified as major?
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Study Notes
Probability of Household Pet Ownership
- 36.5% of U.S. households own dogs; 30.4% own cats.
- Probability of a household owning a dog or a cat cannot be determined with given data.
Device Failure Probability
- Components A, B, and C have failure probabilities of 0.01, 0.03, and 0.04 respectively.
- The probability of the device not failing in a year is 0.922, calculated based on independent component failures.
Game Show Winnings
- Contestant selects from four cards with varied prize amounts: two cards at $1,000, one at $2,000, and one at $5,000.
- Chips include three red (double winnings) and two white (base value winnings).
- The probability of final winnings being exactly $2,000 is 0.400.
Eye Color and Gender Survey
- Survey of 200 students indicates 80 males, with 60 having brown eyes.
- If eye color and gender are independent, it's expected that 90 female students surveyed have brown eyes.
Alarm Triggering Probability
- 97% of bags with forbidden material trigger an alarm; 15% of those without do the same.
- Only 1 in 1,000 bags contain forbidden material.
- Probability that an alarming bag has forbidden material is 0.00640.
Dog Condition Report
- Dogs classified by indoor/outdoor living conditions and skin condition positivity.
- Probability of selecting a dog that tested positive is lower among those that mostly lived outdoors compared to indoors.
Motorist Speed Limit Check
- Officer estimates 40% of motorists exceed the speed limit by more than 5 mph.
- Probability of finding at least one such motorist in four randomly selected is 0.87.
Classification of Tropical Storms
- Major tropical storms have winds over 110 mph.
- Origin estimations: 20% from the Atlantic (20% major), 30% from the eastern Pacific (15% major), 50% from the western Pacific (25% major).
- The probability for a future storm to originate from the Pacific and be classified as major is based on these estimations.
Studying That Suits You
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Description
Test your knowledge of statistics with these flashcards. Each card presents a scenario or question that challenges your understanding of probability and data interpretation. Perfect for both beginners and those looking to refresh their skills.
