Question

1.5. Review Exercises 1. If we randomly pick two television sets in succession from a shipment of 240 television sets of which 15 are defective, what is the probability that they will both be defective? 2. A poll of 500 people determines that 382 like ice cream and 362 like cake. How many people like both if each of them likes at least one of the two? (Hint: Use P(AU B)-P(A) + P(B)-P(A n B) ). 3. The Mathematics Department of the University of Louisville consists of 8 professors, 6 associate professors, 13 assistant professors. In how many of all poesible sampls of size 4, chosen without replacement, will every type of professor be represented? 4. A pair of dice consisting of a siz-sided die and a four-sided die is rolled and the sum is determined. Let A be the event that a sum of 5 is rolled and let B be the event that a sum of 5 or a sum of 9 is rolled. Find (a) P(A), (b) P(B), and (c) P(AnB). 5. A faculty leader was meeting two students in Paris, one arriving by train from Amsterdam and the other arriving from Brussels at approximately the same time. Let A and B be the events that the trains are on time, respectively. If P(A) 0.93, P(B)0.89 and P(An B) 0.87, then find the probability that at least one train is on time.

Answer 1