Please help me with the following two questions. A certaln unlversity has 14 veh

Question

Please help me with the following two questions.

A certaln unlversity has 14 vehicles avallable for use by faculty and staff. Flve of these are vans and 9 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to he assigned are chosen in a completely random fashion from among the 14 (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? [3571 (b) Let F denote the probability that the second vehicle assigned is a van. What is P(FI E)? (c) Use the results of Parts (a) and (b) to calculate PE and F) (Hint: Use the definition of P(F I F).)

Explanation / Answer

b) P(F|E) =4/13 =0.3077

c) P(E and F )= P(F|E)*P(E) (bayes theorem) = 0.1099

PS: We are directed to solve only 1st question if multiple questions are posted

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