Can you please help me with this assignment? Thank you.

Geo I CAN #10 -Constructed Response: Summer Fun Springsville runs a summer program for children at the park. The participants can choose from several activities throughout the day. The choices are shown in the table. Session Time Activity Choices 8:00 - 9:30 AM basketball, tennis, kickball, tetherball, soccer, flag football 2 10:00 - 11:30 AM yoga, silent reading, jigsaw puzzles, journaling 3 1:00 - 2:30 PM art class, music class, chess club, environmental club, Spanish club, robotics club, photography class, theater club 4 3:00 - 4:30 PM swimming, fishing, hiking 1. A camper's schedule consists of one activity per session. How many different schedules are possible (show your work)? 2. What is the probability that a camper selects kickball and hiking (show your work)? 3. What is the probability that one camper selects yoga, or another camper selects chess club (show your work)? 4. A camper selects soccer, silent reading, theater club, and hiking. Are the events independent or dependent? Explain how you know.5. Suppose a camper selects art class during Session 3. The teacher has a bag containing five green markers, seven red markers, three blue markers, and eight yellow markers. a. If the camper is allowed to pick three markers out of the bag, what is the probability they are all blue (show your work)? Try drawing a picture first. b. Are the events in parts (a) independent or dependent? Explain. 6. A councilor has created a game to teach probability. Consider a 5 15 spinner with eight congruent sectors and a number written inside each sector. Each number indicates the number of extra credit points 2 awarded if the arrow lands in that sector. The professor gives the students a choice to either spin the spinner to 20 5 determine how many extra-credit points they will receive or receive 5 extra 5 10 credit points automatically. a. What is the probability that you will receive 1 EC point? 2 EC points? 5 EC points? 10 EC points? 15 EC points? 20 EC points? b. What is the expected value of the spinner? c. What would you recommend the students do? Use mathematics to justify your reasoning