According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.2670.267. suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) what is the probability that among 1010 randomly observed individuals exactly 88 do not cover their mouth when sneezing? (b) what is the probability that among 1010 randomly observed individuals fewer than 33 do not cover their mouth when sneezing? (c) would you be surprised if, after observing 1010 individuals, fewer than half covered their mouth when sneezing? why?

Wo firms, a and b, each currently dump 50 tons of chemicals into the local river. the government has decided to reduce the pollution and from now on will require a pollution permit for each ton of pollution dumped into the river. it costs firm a $100 for each ton of pollution that it eliminates before it reaches the river, and it costs firm b $50 for each ton of pollution that it eliminates before it reaches the river. the government gives each firm 20 pollution permits. government officials are not sure whether to allow the firms to buy or sell the pollution permits to each other. what is the total cost of reducing pollution if firms are not allowed to buy and sell pollution permits from each other? what is the total cost of reducing pollution if the firms are allowed to buy and sell permits from each other? a. $3,000; $1,500 b. $4,500; $3,500 c. $4,500; $4,000 d. $4,500; $2,500