12. State and explain the possible bias in the situation below. [2] A survey is being taken at a high school reunion. One questions asks how much each respondent ears.13. For the word "MISSISSAUGA", calculate: a) the number of possible arrangements of all the letters. [2] b) the number of arrangements that start with "m" and end in "s". [2] 14. If we assume that your chances of going to a museum today are 15% , and the chances of you going to buy a shirt are 40%, what are your chances of not going to a museum and buying a shirt? [2]15. Researchers have found that the life expectancy of a vehicle is normally distributed with a mean of 8 years and a standard deviation of 3.2 years. Calculate the probability that a car selected at random will last: a) less than 5 years. [2]b) more than 15 years. [2] c) between 10 and 15 years. [2]16. The 12 members of the Robotics club are having their yearbook photograph taken. Two of the members do not want to be next to each other. How many line-ups are possible in which the members are not side by side? [3] 17. On a field trip to Wonderland, there are 2 teachers, 10 male students and 12 female students. Calculate: a) the number of possible groups of 6 students. [2] b) the number of choosing 1 group of 7 members if at least 1 teacher, 1 female and 1 male students must be present. [2]18. A 4-member committee is to be formed from a group of 9 singers and 5 dancers. Calculate the number of possible committees if: [8 marks] a) there are no restrictions. b) only 3 dancers are eligible. c) singers are not included. d) the singer called Ann G. must be present.20. It is estimated that the probability of a high school student going to the gym is 45%. If a random sample of 10 students is interviewed: a) calculate the probability that three of them go to the gym. [2] b) calculate the probability that at least 2 of them go to the gym. [2] c) calculate the expected number of students in this sample that go to the gym. [2]21. A 6-sided die that is not fair has the following distribution: X p(x) 30 Calculate: a) the probability of rolling an even number. [2] b) the probability of rolling a number greater than 3. [2] c) the expected value of this spinner. [2]