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?
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?
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?
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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?
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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?
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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.
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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.
