Question: Let N be a random variable describing the number of defective items in a box from Example. Draw the graph for the cumulative distribution function of N and give its pmf.
Example: A telephone manufacturing company makes radio phones and plain phones and ships them in boxes of two (same type in a box). Periodically, a quality control technician randomly selects a shipping box, records the type of phone in the box (radio or plain), and then tests the phones and records the number that were defective. The sample space is
Ω = { (r,0), (r,1), (r,2), (p,0), (p,1), (p,2) }
where each outcome is an ordered pair; the first component indicates whether the phones in the box are the radio type or plain type and the second component gives the number of defective phones.