Vinca (the periwinkle family) have a height determined by polygenes. The shortest Vinca grow to a full height of only 3 inches, whereas the largest Vinca is 21 inches high at maturity. If one crosses a 3-inch Vinca and a 21-inch Vinca, 12-inch Vinca result. If the F1 are allowed to interbreed, then one gets a range of plants from 3 inches to 21 inches high. However, one only obtains about eight plants in 512 that are 3 inches high and only about eight plants in 512 that are 21 inches high. How many loci are involved in Vinca height?

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Vinca (the periwinkle family) have a height determined by polygenes. The shortest Vinca grow to a full height of only 3 inches, whereas the largest Vinca is 21 inches high at maturity. If one crosses a 3-inch Vinca and a 21-inch Vinca, 12-inch Vinca result. If the F1 are allowed to interbreed, then one gets a range of plants from 3 inches to 21 inches high. However, one only obtains about eight plants in 512 that are 3 inches high and only about eight plants in 512 that are 21 inches high.

How many loci are involved in Vinca height?

 
Expert Solution
Step 1

The number of progeny in a particular gene interaction are found bybusing formula:

4n

  • Here, n is the total number of genees that are involved.

If we take only one gene interaction, then n=1.

number of progeny= 41=4

 

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