The exponential pdf is a measure of lifetimes of devices that do not age. However, the exponential pdf is a special case of the Weibull distribution, which measures time to failure of devices where the probability of failure increases as time does. A Weibull random variable Y has pdf fy(y;α,β) = αβyβ-1e-αy^β, 0
Suppose α and β are both unknown. Write down the equations that would be solved simultaneously to find the maximum likelihood estimators of α and β.