The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? O h(x; 2, 0.1) O nb(x; 2, 0.1) O b(x; 2, 0.1) O h(x; 2, 1, 10) O b(x; 2, 1, 10) O nb(x; 2, 1, 10) (b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most four 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?
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? O h(x; 2, 0.1) O nb(x; 2, 0.1) O b(x; 2, 0.1) O h(x; 2, 1, 10) O b(x; 2, 1, 10) O nb(x; 2, 1, 10) (b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most four 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?
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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Transcribed Image Text:The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box after box until you have obtained two of
these prizes.
(a) What is the probability that you purchase x boxes that do not have the desired prize?
O h(x; 2, 0.1)
O nb(x; 2, 0.1)
O b(x; 2, 0.1)
O h(x; 2, 1, 10)
O b(x; 2, 1, 10)
O nb(x; 2, 1, 10)
(b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.)
(c) What is the probability that you purchase at most four 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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