Suppose in a randomly selected cereal box has a probability 0.17 of containing a prize. You will select boxes randomly and inspect them until you have obtained 7 prizes. A. What is the probability you end up obtaining exactly 26 losing boxes before you get your final winner? B. What is the probability you have to inspect exactly 33 total boxes? This means you terminate upon inspection of box 33. (Hint: think about how many losing boxes this means.) C. What is the probability you have to inspect 39 or fewer total boxes? This means you terminate upon inspecton of box 39 or else before that. D. Suppose not you inspect boxes one by one until you get the FIRST box containing a prize. What is the probability you inspect more than 12 boxes?
Suppose in a randomly selected cereal box has a
A. What is the probability you end up obtaining exactly 26 losing boxes before you get your final winner?
B. What is the probability you have to inspect exactly 33 total boxes? This means you terminate upon inspection of box 33. (Hint: think about how many losing boxes this means.)
C. What is the probability you have to inspect 39 or fewer total boxes? This means you terminate upon inspecton of box 39 or else before that.
D. Suppose not you inspect boxes one by one until you get the FIRST box containing a prize. What is the probability you inspect more than 12 boxes?
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