Answer All questions please

300 - Woodmansee Group Work Chp. 3 Name: 1. The state of Virginia's license plates have three letters followed by four digits. Assuming that any letter or digit can be used, how many different license plates are possible? 2. The table shows the approximate distribution of the sizes of firms for a recent year. Number of employees 1 to 4 5 to 9 10 to 19 20 to 99 100 or more Percent of firms 42.9% 15.1% 9.6% 10.0% 22.4% Find the probability that a randomly selected firm will have fewer than 20 employees. 3. The table shows the number of students who took the July 2012 California Bar Examination for the first time and the number of students who repeated the exam. Passed Failed Total First time 4427 2058 6485 Repeat 407 1845 2252 Total 4834 3903 8737 Find the probability that a student repeated the exam, given that the student passed. . A sample of automobile dealerships found that 19% of automobiles sold are silver, 22% of automobiles sold are SUVs, and 16% of automobiles sold are silver SUVs. Find the probability that a randomly chosen automobile from this sample is silver or an SUV. 5. Fifteen cyclists enter a race. How many ways can the cyclists finish first, second, and third? Use permutations or combinations. 6. A full house consists of three of one kind and two of another kind. You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the probability of being dealt a full house consisting of three kings and two queens