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(b) What is the probability that you purchase at least 9 boxes?

(b) What is the probability that you purchase at least 9 boxes?

A First Course in Probability (10th Edition)
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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could you please do b)? I got approx 0.7793 but I'm not sure why it's wrong or why what I did was wrong

The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.19. Suppose that you purchase box after box until you have obtained 3 of these prizes. (a) What is the probability that you purchase exactly 7 boxes? (b) What is the probability that you purchase at least 9 boxes?
Transcribed Image Text:The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.19. Suppose that you purchase box after box until you have obtained 3 of these prizes. (a) What is the probability that you purchase exactly 7 boxes? (b) What is the probability that you purchase at least 9 boxes?
Expert Solution
Step 1: Mentioning given information

The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.19. Suppose that you purchase box after box until you have obtained 3 of these prizes.

Here use negative binomial distribution. 

p = probability of success = 0.19

  • There two outcomes success and failure.
  • No of trial performed until getparticular no of success. 
  • Probability of success remains constant in each trial. 
  • Each trial independent from each other.

As you mentioned I have calculated b ) part.



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