2. [A, 6 points] The Bureau of Census reported that, in 2013, the children between the ages of 3 and 5 living in a household that included their mother, broke down into the following groups according to their mother's education level and whether or not the children were enrolled in preschool or kindergarten. Mother's Education Level Enrolled Not enrolled Total (in thousands) (in thousands) (in thousands) Elementary: 0-8 years 219 337 556 Some high school: 1-3 years 566 712 1278 High school graduate 2090 1897 3987 Some college: less than a BA 1762 1306 068 BA degree or higher 1476 693 2169 Total 6113 4945 11 058 Find the following: a) The probability that the child was enrolled in preschool or kindergarten, b) The probability that the child was enrolled in preschool or kindergarten given that the child's mother had only an elementary education, C) The probability that the child was enrolled in preschool or kindergarten given that the child's mother had a BA degree or higher. 3. [C - 5 points, T - 4 points] A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c where a, b, c are randomly selected from the following sets: a - {- 1, 1, 2}, b - {0, 4), c - {0, 1} a) Construct a tree diagram and show all possible quadratic functions generated by this program. b ) How many of the functions in part (a) have a maximum value (i.e., downward opening)? C) What is the probability that a quadratic function randomly generated by this program has - a minimum value? has 2 x-intercepts? - has a minimum and two real x-intercepts? -has no x-intercepts given it has a maximum