Muscle FitnessMagazine surveyed 76 adults ages 18-25regarding their exercise programs. The following results wereobtained

• 30 were using Zumba dance
• 29 were using Yoga
• 26 men responded to the survey
• Of the people that use Zumba, only 5 weremen.
• Of the people using Resistance Training, only 6 werewomen.

a) Create a table to organize theinformation shown above.

b) What is the probability that a randomly selected personuses Zumba or Yoga? Round answer to two decimal places and justifyyour answer by showing correct calculations or by giving a briefcorrect explanation.

c) What is the probability that a randomly selected maleuses Zumba or Yoga? Round answer to four decimal places and justifyyour answer by showing correct calculations or by giving a briefcorrect explanation.

d) Given that a person uses yoga, what is the probabilitythat a randomly selected person is female? Round answer to fourdecimal places and justify your answer by showing correctcalculations or by giving a brief correct explanation.

e) Are the events being male and using yoga independent?Show all work and give a brief explanation of your answer.

Question 2:

You have a multiple-choice test (4 options for eachquestion) in your AP English class. You have studied and feelwell prepared. You estimate that you have an 80% chance ofknowing the answer and thus getting it correct. On questionsyou do not know, you plan to guess. Use this information toanswer questions a- e below.

a) Make a tree diagram to model thissituation.

b) What is the probability you answer a questioncorrectly?

c) What is the probability that if I get a question rightit is because I knew it?

d) What is the probability I get it correct given Iguessed?

e) What is the probability I guessed given I got itcorrect?