Suppose that the number of times that vampire bill gets attacked by hep v in a given year is a poisson random variable with parameter λ = 5. now, he discovered a new drug (based on large quantities of vitamin c) that has just been marketed to protect from hep v. it claims to reduce the poisson parameter to λ = 3 for 75% of the population. for the rest of the population, the drug has no appreciable effect on hep v. if bill tries the drug for a year and only had 2 hep v attacks in that time, how likely is it that the drug was beneficial for him?

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?