Final answer:
The relative frequencies of each friend recording 'Tails' are Angel: 0.556, Michael: 0.472, and Fernanda: 0.639. Fernanda has a relative frequency closest to the theoretical probability of flipping 'Tails' 36 times.
Step-by-step explanation:
a. To find the relative frequency of each friend recording 'Tails', we divide the number of times they recorded 'Tails' (Angel: 20, Michael: 17, Fernanda: 23) by the total number of coin flips (36). The relative frequencies are as follows:
Angel: 20/36 = 0.556
Michael: 17/36 = 0.472
Fernanda: 23/36 = 0.639
b. The theoretical probability of flipping 'Tails' 36 times is 0.5. From the relative frequencies calculated in part a, we can see that Fernanda has a relative frequency (0.639) that is closest to the theoretical probability.