There are 7 students in the class and 3/4 of a pound of chocolate. if the chocolate is divided equally anong the stusents, how many will each student get?

Scott is a revenue manger in a 600 room hotel. for tomorrow he forecasts that 10 rooms will be ooo and that there will be 80 stayovers with 300 arrivals. he also forecasts 30 no-shows, 10 early departures and 20 over-stays. what is scott s forecast for the number of rooms occupied tomorrow?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

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