Final answer:
The value for interference in the given genetic cross of the Chinese primrose is calculated to be approximately 0.36, which is found by comparing the observed double crossover progeny with the expected number based on single crossover frequencies. The correct option is a.
Step-by-step explanation:
To calculate interference, we need to determine the expected number of double crossover (DCO) progeny based on the single crossover (SCO) frequencies and compare this to the observed number of DCO progeny. The formula for calculating interference (I) is I = 1 - (observed DCO / expected DCO).
First, we identify the single crossover frequencies from the given progeny data:
SCO between A and B: (blue green short) + (slate green long) = 224 + 142 = 366.
SCO between B and C: (slate red long) + (slate red short) = 226 + 16 = 242.
Next, the observed number of DCO is the sum of progeny with recombination in both regions: (blue red long) + (blue red short) = 122 + 138 = 260.
The expected number of DCO is the product of the probabilities of SCO between A and B and SCO between B and C, multiplied by the total progeny:
(366/676) × (242/676) × 676 = 366 × 242 / 676 ≈ 130.97.
Now we apply the interference formula:
I = 1 - (observed DCO / expected DCO) = 1 - (260 / 130.97) ≈ 0.36.
The value for interference is 0.36 (option a).