An inspector takes a random sample of 5 door hinges from a steady stream production punch press. The average proportion of nonconforming parts it 0....

1. An inspector takes a random sample of 5 door hinges from a steady stream production punch press. The average proportion of nonconforming parts it 0.10. What is the probability of picking 1 nonconforming part from the sample of 5 door hinges?

2. A local manufacturing firm is forming a team to look at better ways to produce a particular part. There are two major groups involved, 7 Design Engineers and 5 Production Engineers. The group will consists of 3 members from the Design Engineering group and 2 members of the Production group. How many different combinations of the team are possible?

3. A production line is producing window hinges for an automotive company. The weight in kilograms of these parts is very close to the maximum allowed for a standard shipping container and must be controlled. A sample of 15 parts was taken at random from the production line and weighed. The weights are shown below in Kg. 0.297 0.296 0.294 0.297 0.296 0.295 0.293 0.301 0.301 0.295 0.295 0.301 0.296 0.302 0.296 The standard deviation of the entire population produced at the plant was previously found to be 0.024 Kg. What percentage of the data would fall below the lower specification limit of 0.274Kg? What percentage of the data would fall above 0.347Kg? 

4. We have been hired to help an eyeglass company determine how many sets of eyeglasses leave their facility defective. They only assemble the components and only manufacture the lenses. For one set of glasses they require 2 lenses, 2 arms, 2 screws and one frame. Their suppliers have supplied them with the following defective percentages: a frame 1.5 %, an arm 2.0 % and a screw 0.5 %. They know from internal quality control checks that each eye lens has a 0.1% defective percentage. What percentage of the assembled glasses that leaves the factory is defective?