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In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed

In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed random variable with the probability density function

f(t)=0.03e0.03t,

0t<.

Find the probability that a rat will learn its way through a maze in

200sec

or less.

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What is the  probability ?

 

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