The cs department has six committees, each meeting once a month. the committees are:

alumni relations : fischer, solomon, vernon
curriculum : dewitt, goodman, vernon
facilities : fischer, meyer, solomon
graduate admissions : dewitt, naughton, vernon
graduate advising : goodman, solomon, vernon
undergraduate advising : dewitt, meyer, naughton

what is the minimum number of different meeting times needed to ensure that no member is scheduled to attend two meetings at the same time? make sure to justify your answer. to receive full credit your answer must use graph coloring.

What are the relative frequencies to the nearest hundredth of the columns of the two-way table? a b group 1 102 34 group 2 18 14

Abarbecue sold 26 hamburgers and hot dogs. hamburgers sell for $3.50 each and hot dogs sell for $2.00 each. if the barbecue made $70 in sales, determine and state the number of hot dogs sold.

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?