Calculate P(XX | sprinter) Is genotype independent of group? Justify your answer with an appropriate equality or inequality between two probabilities.

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  1. The gene ACTN3 encodes a protein that assists fast-twitch muscles. The three possible genotypes are RR, RX, and XX. Genotype was assessed in three  groups: non-athletes, elite sprinters, and elite endurance runners.

 

RR

RX

XX

Total

Non-athletes

130

226

80

436

Sprinters

53

48

6

107

Endurance

60

88

46

194

Total

243

362

132

737

  1. Calculate P(XX | sprinter)
  2. Is genotype independent of group? Justify your answer with an appropriate equality or inequality between

two probabilities.

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