# Hw8 - SIEO 3600(IEOR Majors Introduction to Probability and...

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SIEO 3600 (IEOR Majors) Assignment #8 Introduction to Probability and Statistics March 23, 2010 Assignment #8 – due March 30th, 2010 ( Binomial, Geometric and Uniform random variables ) 1. Polling: During a Presidential election (only two candidates for simplicity). (a) It has been determined (by extensive sample) that p = 55% of all voters will vote for candidate A and q = 1 - p = 45% for candidate B . If you randomly select 5 voters, what is the probability that exactly 3 will vote for candidate A ? (b) Suppose that apriori we do not know the proportion p of voters who will vote for can- didate A , but that when we randomly selected 5 voters, exactly 3 said they would vote for A . Find the value of p that maximizes the probability of this event (e.g., of getting exactly 3 out the 5 saying they would vote for A .) 2. Let X be a binomial random variable with E [ X ] = 7 and var( X ) = 2 . 1 Find (a) P ( X = 4); (b) P ( X > 12). 3. Suppose that a particular trait (such as eye color or left-handedness) of a person is classified on the basis of one pair of genes, and suppose that d

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The text passage appears to be an assignment or homework sheet for a probability and statistics course, containing multiple questions related to binomial, geometric, and uniform random variables.
multiple_questions
Given a text passage, determine:
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    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Hw8 - SIEO 3600(IEOR Majors Introduction to Probability and...

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SIEO 3600 (IEOR Majors) Assignment #8 Introduction to Probability and Statistics March 23, 2010 Assignment #8 – due March 30th, 2010 ( Binomial, Geometric and Uniform random variables ) 1. Polling: During a Presidential election (only two candidates for simplicity). (a) It has been determined (by extensive sample) that p = 55% of all voters will vote for candidate A and q = 1 - p = 45% for candidate B . If you randomly select 5 voters, what is the probability that exactly 3 will vote for candidate A ? (b) Suppose that apriori we do not know the proportion p of voters who will vote for can- didate A , but that when we randomly selected 5 voters, exactly 3 said they would vote for A . Find the value of p that maximizes the probability of this event (e.g., of getting exactly 3 out the 5 saying they would vote for A .) 2. Let X be a binomial random variable with E [ X ] = 7 and var( X ) = 2 . 1 Find (a) P ( X = 4); (b) P ( X > 12). 3. Suppose that a particular trait (such as eye color or left-handedness) of a person is classified on the basis of one pair of genes, and suppose that d

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### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern
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The text passage appears to be an assignment or homework sheet for a probability and statistics course, containing multiple questions related to binomial, geometric, and uniform random variables.

TYPE: MULTIPLE_QUESTIONS