Last year during Thanksgiving, n people gathered at a party and played a game together. They each took off their pair of gloves and put them into a box. After that, each one of them took two gloves randomly from the box, which contained all 2n gloves, and put them back into the box before the next person drew […]
Problem 2. At a particular university in an urban area, official policy mandates that university-owned student housing shall rent for no more than 80% of the market rate for comparable housing. Rent for all two-bedroom university-owned student apartments is $640/month. All the university-owned two-bedroom student apartments have one bathroom, no view, and are comparable in […]
The University of California, Berkeley (Cal), and Stanford University are athletic archrivals in the Pacific 10 conference. Stanford fans claim Stanford’s basketball team is better than Cal’s team; Cal fans challenge this assertion. In 2004, Stanford University’s basketball team went nearly undefeated within the Pac 10. Stanford’s record, and those of Cal and the other […]
Suppose that in a certain population of used cars, 5% have bad brakes. Consider the null hypothesis that a car’s brakes are fine. Suppose a given mechanic has a 5% chance of committing a type I error and a 5% chance of committing a type II error in inspecting the brakes of used cars. Consider […]
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