Simon and his relatives were gathering for a family reunion. There were 9 pairs
of aunts and uncles. For every 3 uncles,
there were 4 cousins. There were also
2 grandparents, plus Simon's parents
and sister
How many people were at the reunion?

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?

If a company produces x units of an item at a cost of $35 apiece the function c=35x is a of the total production costs

Aski resort is charging $37.50 to rent a snowmobile for 5 hours. at this rate what will be the cost for a family of 5 to rent snowmobiles for 3 hours on the first day of their vacation and 4 hours for on the last day of their vacation