The Elo Chess Rating System is a method for predicting scores from a chess match (in this case under a certain scenario). The probability of getting a certain score (for any real number x) is f(x)=(e^-(x-1000)/300)/(1+e^-(x-1000)/300)     The cumulative distribution function (for any real number x) is F(x)=1/(1+e^-(x-1000)/300)     What is the probability of getting a score of 699? Use 4 decimal places What is the probability of getting a score less than 699? Use 4 decimal places What is the probability of getting a score greater than 1509? Use 4 decimal places What is the probability of getting a score between 699 and 1509? Use 4 decimal places

MATLAB: An Introduction with Applications
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The Elo Chess Rating System is a method for predicting scores from a chess match (in this case under a certain scenario). The probability of getting a certain score (for any real number x) is

f(x)=(e^-(x-1000)/300)/(1+e^-(x-1000)/300)
 
 



The cumulative distribution function (for any real number x) is

F(x)=1/(1+e^-(x-1000)/300)
 
 



What is the probability of getting a score of 699?
Use 4 decimal places


What is the probability of getting a score less than 699?
Use 4 decimal places


What is the probability of getting a score greater than 1509?
Use 4 decimal places


What is the probability of getting a score between 699 and 1509?
Use 4 decimal places

Expert Solution
Step 1

It is given that the probability of getting a certain score x is: 

Distribution function:

f(x)=(e^-(x-1000)/300)/(1+e^-(x-1000)/300)

Cumulative distribution function:

F(x)=1/(1+e^-(x-1000)/300)

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