The quality of each pair of photo detectors produced by the machine in Prob-lem 2.1.6 is independent of the quality of every other pair of detectors.

(a) What is the probability of finding no good detectors in a collection of n pairs produced by the machine?
(b) How many pairs of detectors must the machine produce to reach a probability of 0.99 that there will be at least one acceptable photo detector?

If f(x)= 3x+6 which of the following is the inverse of f(x)

How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?