2:03 vil E 1. Consider the following contingency table: Events B A 20 A 90 a. Complete the above contingency and write the numbers as fractions (like 0.40) in parentheses. b. Write the simple events along with their probabilities. c. Write all joint events along with their probabilities. d. What is the complement of A'? OfB? e. What is the probability of "A or B? f. What is complement of A or B"? g. What is the probability of "neither A nor B"? 2. Indicate which of the following is a priori classical probability, empirical classical probability, or subjective probability: a. The card will be an Ace when a card is randomly drawn from a deck of playing cards. b. Apple computer will sell one million iphones next month. c. Probability of a simple event in question 1 above. 1. Consider the following contingency table: B' Total 80 200 2:04 || L d. Which party (Republican or democrats) will have majority in the Congress next year? e. When pair of dice is rolled, the sum will be at least 10. f. The probability of rain tomorrow. 3. A state university has in-state, out-of-state, and foreign students. A sample of 400 students was taken and the number of students (males and females) based on the three categories are listed in the following contingency table: Students Male In-state 110 Out-of-state ) 32 Female 160 ) 38( Total a. Complete this contingency table by writing numbers and fractions (like 0.45) in parentheses. b. Write two simple events and their probabilities. If a student is randomly selected, what is the probability that c. S/he is a foreigner? d. S/he is not an in-state student? e. The student is either a male or out-of-state? f. The student is neither a female nor a foreigner? Out-of-state Foreigners ) 18 ( Total ( 32 ( ) ) 38 ( ) 42 ( ) ) a. Complete this contingency table by writing numbers and fractions (like 0.45) in parentheses. b. Write two simple events and their probabilities. If a student is randomly selected, what is the probability that c. S/he is a foreigner? d. S/he is not an in-state student? e. The student is either a male or out-of-state? f. The student is neither a female nor a foreigner? g. The student is a male and from in-state? h. The student is a female and a foreigner