In the geometric setting the trials are independent, each trial has just two possible outcomes (success and failure), the probability of success is the same for each trial (referred to as p), and the random variable X is the number of trials required to get the first success. Which of the following scenarios meets the requirements of a geometric setting? A. Puff Pop Popcorn Company claims there will be fewer than 15 unpopped kernels in each bag of their microwave popcorn. You count the number of kernels in a bag of popcorn, and then pop the entire bag. You then eat the popcorn one kernel at a time starting at the top of the bowl. What's the probability that you'll pick an unpopped kernel by the 15th pick?
B. A market research firm hires operators to conduct telephone surveys. Going down an alphabetical list of names in the telephone directory, a computer dials a telephone number and the operator asks the respondent whether they have time to answer some questions. What's the probability someone will answer yes by the fifth call?
C. There are 10 different prizes in boxes of Googily-Snaps. Prize four is the most valuable among collectors. What's the probability that I'll get prize four without having to buy more than 4 boxes?
D. Suppose you've been to a game reserve where there are lots of different types of birds: pigeons, robins, finches, woodpeckers, falcons, white owls, eagles, peacocks, and many more. What's the probability you'll come across a falcon by the tenth bird you see?
E. A sack has 8 red number cubes and 9 green number cubes. I remove one number cube at a time (and don't replace it) until I get my first red number cube. What's the probability I get a red number cube on the eighth draw?