The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchasebox after box until you have obtained three of these prizes.(a) What is the probability that you purchase x boxes that do not have the desired prize?O nb(x; 3, 0.1)b(x; 3, 1, 10)nb(x; 3, 1, 10)O h(x; 3, 0.1)h(x; 3, 1, 10)О ыx;B 3, 0.1)(b) What is the probability that you purchase five boxes? (Round your answer to four decimal places.)(c) What is the probability that you purchase at most five boxes? (Round your answer to four decimal places.)(d) How many boxes without the desired prize do you expect to purchase?How many boxes do you expect to purchase?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that in a certain large population, the proportion of people that have blood type O is 0.33. If 7 people are randomly and independently selected from this population, what is the probability that no more than one has blood type O? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer:
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