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Hello. Please create a Python Program for attached Probability question (Solution to question in other pic).  Please Only provide a screenshot of your code and its result.  * If you can do this and correctly answer, I will give you a thumbs up. Thanks!

Hello. Please create a Python Program for attached Probability question (Solution to question in other pic).  Please Only provide a screenshot of your code and its result.  * If you can do this and correctly answer, I will give you a thumbs up. Thanks!

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.1: Two Puzzles
Problem 3P
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Hello. Please create a Python Program for attached Probability question (Solution to question in other pic). 
Please Only provide a screenshot of your code and its result. 
* If you can do this and correctly answer, I will give you a thumbs up. Thanks!

EXAMPLE. In each of 4 races, the Democrats have a 60% chance of winning. Assuming that the races are independent of each other, what is the probability that: The Democrats will win 0 races, 1 race, 2 races, 3 races, or all 4 races? The Democrats will win at least 1 race a. b. C. The Democrats will win a majority of the races SOLUTION. Let X equal the number of races the Democrats win. a. Using the formula for the binomial distribution, (p'q" 4! 0!(4-0)! .60°.40* = .40* = .0256, O p q 4! ··60'.40³ = 4*.60*.40³ = .1536, 1!(4-1)! b. (3) p² q = (3 p q 4! ·60².40²=6*.60².40² = .3456, 2!(4-2)! = 4! ·60³.40'=4*.60³.40' = .3456, 3!(4-3)! 4! = .60*.40°= .60*=.1296 4!(4-4)! P(at least 1) = P(X ≥ 1) = 1 - P(none) = 1 - P(0) = .9744. Or, P(1) + P(2) + P(3) + P(4) = .9744. C. P(Democrats will win a majority) = P(X ≥ 3) = P(3) + P(4) = .3456 + .1296 = .4752.
Transcribed Image Text:EXAMPLE. In each of 4 races, the Democrats have a 60% chance of winning. Assuming that the races are independent of each other, what is the probability that: The Democrats will win 0 races, 1 race, 2 races, 3 races, or all 4 races? The Democrats will win at least 1 race a. b. C. The Democrats will win a majority of the races SOLUTION. Let X equal the number of races the Democrats win. a. Using the formula for the binomial distribution, (p'q" 4! 0!(4-0)! .60°.40* = .40* = .0256, O p q 4! ··60'.40³ = 4*.60*.40³ = .1536, 1!(4-1)! b. (3) p² q = (3 p q 4! ·60².40²=6*.60².40² = .3456, 2!(4-2)! = 4! ·60³.40'=4*.60³.40' = .3456, 3!(4-3)! 4! = .60*.40°= .60*=.1296 4!(4-4)! P(at least 1) = P(X ≥ 1) = 1 - P(none) = 1 - P(0) = .9744. Or, P(1) + P(2) + P(3) + P(4) = .9744. C. P(Democrats will win a majority) = P(X ≥ 3) = P(3) + P(4) = .3456 + .1296 = .4752.
Question - Make a Python Program That Solves the Following Probability Problem (Answer to Problem in Next Picture): In each of 4 races, the Democrats have a 60% chance of winning. Assuming that the races are independent of each other, what is the probability that: a. The Democrats will win 0 races, 1 race, 2 races, 3 races, or all 4 races? b. The Democrats will win at least 1 race c. The Democrats will win a majority of the races SOLUTION. Let X equal the number of races the Democrats win. ** Use Binomial Distribution ** * Please Write Your Code on Paper and Do Not Give Typed Text. (You can give a screenshot of your online code and result, but please only write the code on Paper). I will make sure to give a Thumbs Up, if u can do this. Thank you.
Transcribed Image Text:Question - Make a Python Program That Solves the Following Probability Problem (Answer to Problem in Next Picture): In each of 4 races, the Democrats have a 60% chance of winning. Assuming that the races are independent of each other, what is the probability that: a. The Democrats will win 0 races, 1 race, 2 races, 3 races, or all 4 races? b. The Democrats will win at least 1 race c. The Democrats will win a majority of the races SOLUTION. Let X equal the number of races the Democrats win. ** Use Binomial Distribution ** * Please Write Your Code on Paper and Do Not Give Typed Text. (You can give a screenshot of your online code and result, but please only write the code on Paper). I will make sure to give a Thumbs Up, if u can do this. Thank you.
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