Q. No. 4: An overseas shipment of 5 foreign automobiles contains 2 that have slight paint blemishes. If an agency receives 3 of these automobiles at random, list the elements of the sample space 5, using the letters B and N for blemished and non-blemished, respectively; then to each sample point assign a value x of the random variable X representing the number of automobiles with paint blemishes purchased by the agency. Q. No. 5: Southport Autos offers a variety of luxury options on its cars. Because of the 6- to 8- week waiting period for customer orders, Ben Stoler, the dealer, stocks his cars with a variety of options. Currently, Mr. Stoier, who prides himself on being able to meet his customers\" needs immediately, is worried because of an industrywide shortage of cars with VS engines. Stoler offers the following luxury combinations: 1. V8 engine electric sun roof halogen headlights 2. Leather interior power door locks stereo cassette deck 3. [-lalogen headlights V8 engine leather interior 5 Stereo cassette deck V8 engine power door locks Stoler thinks that combinations 2, 3, and 4 have an equal chance of being ordered, but that combination 1 is twice as likely to be ordered as any of these. {a} What is the probability that any one customer ordering a luxury car will order one with a V3 engine? (b) Assume that two customers order luxury cars. Construct a table showing the probability distribution of the number of V-S engines ordered