Solve dU/dt = d^2U/dx^2,0 < x < 6, t > 0, subject to the conditions U(0,t) = U(6,t)=0, U(x,0)=( 1 if 0<= x <= 3 & 0 if 3 <= x <= 6). Interpret physically.

The life (in hours) of a magnetic resonance imagining machine (mri) is modeled by a weibull distribution with parameters β = 2 and δ = 370 hours. (a) determine the mean life of the mri. (round your answer to 2 decimal ) determine the variance of the life of the mri. (round your answer to 1 decimal ) what is the probability that the mri fails before 250 hours? (round your answer to 4 decimal places.)