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Mathematics, 09.10.2019 21:10 HugoArellano

Rainees must complete a specific task in less than 2 minutes. consider the probability density function below for the time it takes a trainee to complete the task. f(x) = 1 - 0.5x 0 < x < 2 a) what is the probability a trainee will complete the task in less than 1.48 minutes? give your answer to four decimal places. b) what is the probability that a trainee will complete the task in more than 1.48 minutes? give your answer to four decimal places. c) what is the probability it will take a trainee between 0.5 minutes and 1.48 minutes to complete the task? give your answer to four decimal places. d) what is the expected time it will take a trainee to complete the task? give your answer to four decimal places. e) if x represents the time it takes to complete the task, what is e(x2)? give your answer to four decimal places. f) if x represents the time it takes to complete the task, what is var(x)? give your answer to four decimal places.

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