A light bulb company is studying defects in their lightbulbs 4% of the bulbs have defects in the glass but not the coil 1% of the bulbs have defects in the coil but not the glass 0.4% of the bulbs have defects in both the glass and the coil

a) construct a contingency table for this information.

b) what proportion of the bulbs have defects in the glass?

c) what proportion of the bulbs have defects in the coil?

d) what proportion of the bulbs have some type of defect (in either the glass or the coil)?

e) is having a defect in the glass independent of having a defect in the coil? Show your reasoning.

f) among bulbs having a defect in the glass, what is the probability of having a defect in the coil?

g) knowing that a bulb does not have a defect in the coil, what is the probability it will not have a defect in the glass?