Question

1. A quality control engineer randomly selects three light bulbs from a shipment to determine if they meet all the specifications defined by a company. Let M = a light bulb meets all the specifications defined by a company, and N = a light bulb does NOT meet all the specifications defined by a company. Write the sample space of this experiment in tree diagram and set notation. (10 points total, 5 points each)

Tree diagram:

Set notation:

Answer 1

SET NOTATION :

There are 2 outcomes for each of the three bulbs, so there should be 2³ = 8 outcomes.

= { MMM , MMN , MNM , MNN , NMM , NMN , NNM , NNN }