The length of a telephone call (in minutes), t, for a certain town is a continuous random variable with probability density function defined by (t) 3t 4 , for t in 1, ) Find the probabilities for the following situations (a) The call lasts between 1 and 2 minutes (b) The call lasts between 3 and 5 ...

The length of a telephone call (in minutes), t, for a certain town is a continuous random

Question:

The length of a telephone call (in minutes), t, for a certain town is a continuous random variable with probability density function defined by ƒ(t) = 3t^-4, for t in [1, ∞). Find the probabilities for the following situations.
(a) The call lasts between 1 and 2 minutes.
(b) The call lasts between 3 and 5 minutes.
(c) The call lasts longer than 3 minutes.

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