Chess Tournament Probability and Continuous Random Variables

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5 Questions

What is the probability of winning a game in the chess tournament against type 2 players?

0.4

In the chess tournament scenario, what is the total probability of winning against all three types of players combined?

0.75

For the continuous random variable X with density function fx(x), what is the value of a in the function?

0.1

Based on the information provided, what is the distribution function Fy of the random variable X?

$Fy(x) = 1 - (ax + b^2)$

What is the probability of a randomly chosen opponent in the chess tournament being a type 1 player?

0.75

Test your knowledge on probability calculations in a chess tournament scenario and understanding of continuous random variables with a given density function. Calculate the probability of winning in a chess tournament and analyze a density function for a continuous random variable.

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