(16 points) In a manufacturing facility, materials are received by truck on Mondays. If materials stock out then special trips must be scheduled and these special trips are very costly. We want to determine the likelihood of having to make a special trip for material for an assembly that has 6 components and each component in the assembly has the same probability p of stocking out on any given day. a. What is the largest that p can be for the components in this assembly so that the probability of having no stockouts across the six components on the same day is less than 1%? b. If each of the 6 components in the assembly has a likelihood of stocking out on any day of 1.5% (so p - .015), what is the likelihood that 2 or more components stock out on the same day