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HELP NOW Each of three friends flips a coin 36 times 36 times. Angel records tail 20 times Michael records tails 17 times Fernada records tails 23 times

a. Find the relative frequency with which each friend record "Tails"

b. Which friend has a relative frequency that is closest to the theoretical probability of flipping "tails" 36 times

User Deluan
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1 Answer

3 votes

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.

User Jelle Keizer
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