3. Each of three friends tlips a coin 36 tim records "tails" 20 times. Michael record 17 times. Fernanda records "tails" 23 ti a. Find the relative frequency with whi friend records "tails". b. Which friend has a relative frequen, is closest to the theoretical probabil flipping "tails" 36 times? Explain.

a. To find the relative frequency for each friend, divide the number of "tails" outcomes by the total number of flips (36). • For the first friend (who got 20 tails):  Relative frequency = 20/36 ≈ 0.556 • For Michael (who got 17 tails):  Relative frequency = 17/36 ≈ 0.472 • For Fernanda (who got 23 tails):  Relative frequency = 23/36 ≈ 0.639 b. The theoretical probability of getting "tails" on a fair coin flip is 0.5. Comparing the relative frequencies:  – First friend: |0.556 – 0.5| = 0.056  – Michael: |0.472 – 0.5| = 0.028  – Fernanda: |0.639 – 0.5| = 0.139 Michael’s relative frequency (approximately 0.472) is only about 0.028 away from 0.5, making it the closest to the theoretical probability.