Probability

2) How many different license plate numbers can be made if the first three spots must be non- repeating letters and the last three spots must be non-repeating numbers. (3) Suppose you have just received a shipment of 100 televisions. Although you don't know this, 6 are defective. To determine whether you will accept the shipment, you randomly select 5 televisions and test them. If all 5 televisions work, you accept the shipment; otherwise, the shipment is rejected. What is the probability of accepting the shipment? (4) In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 64% of adult Americans operate the flusher of toilets in public restrooms with their foot. a) If 500 adult Americans are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 280 adult Americans who flush toilets in public restrooms with their foot? (5) Historically, the probability a passenger will miss a flight is 0.0995. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "'bumped" from the flight. The Lockheed 149 Constellation has a seating capacity of 54 passengers. (a If 56 tickets are sold, what is the probability 55 or 56 passengers show up for the flight