1) ................

Shown here are the top 10 U.S. cities ranked by population. Rank City State Number of Rooms Sold 1 New York City NY 8,550,405 2 Los Angeles CA 3,971,883 3 Chicago IL 2,720,546 4 Houston TX 2,296,224 UT Philadelphia PA 1,567,442 Phoenix AZ 1,563,025 San Antonio TX 1,469,845 San Diego CA 1,394,928 Dallas TX 1,300,092 10 San Jose CA 1,026,908 (Round your answers to 4 decimal places, e.g. 0.2153.) Suppose four of these cities are selected randomly. a. What is the probability that exactly one city is in California? b. What is the probability that one city is east of the Mississippi River? c. What is the probability that exactly two of the cities have populations under 2 million?A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distributed. a. What is the probability of selecting a carton and nding one defective pen? b. What is the probability ofnding eight or more defective pens in a carton? c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than three defective pens. What is the probability that a carton contains more than three defective pens? Appendix A Statistical Tables (Round your answers to 4 decimal places when calculating using Table A3, e3. 0.2153.) c. P(x > 3 | A = 1.2) = 0.0077