(Solved): 2. The same light bulb factory also produces LED lights and the quality control data for the LED li ...

2. The same light bulb factory also produces LED lights and the quality control data for the LED lights indicates that $11\%$ of the light bulbs have a minor defect $(\mathrm{M}),3\%$ have a major defect (D), and $2\%$ have both minor and major defects $(\mathrm{M}?\mathrm{D})$. For reference, $78\%$ of all light bulbs made in this factory are LED and the remaining are yellow. NOTE: In the context of this problem, all probabilities you determined in Problem 1 now have the condition of being a yellow light $(\mathrm{Y})$. For example $P(\mathrm{M})$ from Problem 1 is now $P(\mathrm{M}?\mathrm{Y})$ in the context of Problem 2. (a) Determine the probability of randomly selecting a yellow light $P(\mathrm{Y})$. (b) Determine the probability of an LED light having no defects $P(\mathrm{N}?\mathrm{L})$. (c) Is the factory more likely to produce a yellow light with no defects $P(\mathrm{N}?\mathrm{Y})$ or an LED light with no defects? (d) How likely is it to randomly select a light bulb with no defects, regardless of which light bulb it is?