Salt Lake City is a hub for a large airline. Suppose that on a particular day, 6,000 passengers arrive in Salt Lake on this airline. For 2,800 of these passengers, Salt Lake is their final destination. The others were all connecting to other cities. On this particular day, several inbound flights were delayed and 350 passengers missed their connecting flights and were delayed in Salt Lake. Calculate the following probabilities and show your work.

a. Draw and label a Venn diagram to represent the information above.

b. Calculate the probability that a randomly selected passenger did not have Salt Lake as their final destination.

c. Calculate the probability that a randomly selected passenger was a connecting passenger and did not miss their connecting flight.