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The probability density function of XX, the lifetime of a certain type of device (measured in...

The probability density function of XX, the lifetime of a certain type of device (measured in months), is given by


f(x)={0 if x≤14
14/x^2 if x>14


Find the following: P(X>21) =
  

The cumulative distribution function of X:F(x)=⎧
The probability that at least one out of 6 devices of this type will function for at least 50 months:

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