The question is in the picture please answer soon The time t (in hours) required

Question

The question is in the picture please answer soon

The time t (in hours) required for a new employee to successfully learn to operate a machine in a manufacturing process is described by the probability density function shown below. Find the probability that a new employee will learn to operate the machine in less than 4 hours. (Round to 4 decimal places. ) Find the probability that a new employee will learn to operate the machine in more than 3 hour(s) but less than 15 hours. (Round to 4 decimal places. )

Explanation / Answer

prob(t<4) = integral of f(t) from 0 to 4 = integral of 15/4096*t*sqrt(16-t) from 0 to 4=0.1069

b) P(3<t<15) = integral of 15/4096*t*sqrt(16-t) from 3 to 15 = 0.9008

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