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Mathematics, 19.03.2020 17:16 jade5801

The time, in 100 hours, that a student uses her game console over a year is a random variable X with probability density function

f(x)=x if 0 f(x)=2−x if 1≤x<2
f(x)=0 otherwise.

The power (in number of kilowatt hours) expended by the student's game console each year is 50X2+28. For these problems, please ensure your answers are accurate to within 3 decimals.

Find the mean amount of power expended by the student's game console per year.

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