A survey was conducted of 1000 households in Texas. 670 households responded that the household included an Aggie fan (A), while 450 households responded that the household included a Longhorn fan (L). 90 households responded that the household did not include any Aggie or Longhorn fans. 1. (4 pts) Using the given information, construct the corresponding Venn Diagram to include the number of households surveyed in each mutually exclusive region. 2. (1 pt) Describe the event corresponding to the shaded regions below. 3. (1 pt) Write the symbolic notation for the event "a randomly selected household in Texas includes an Aggie fan, but does not include a Longhorn fan." 4. (1 pt) Describe the types of fans in Texas households included in the event AC UL. 5. (1 pt) Determine P(An L) and interpret your answer in the context of the