13. In a species of grass, height is determined by 5 genes. Each gene has two al

Question

13. In a species of grass, height is determined by 5 genes. Each gene has two alleles, one allele contributes 2cm to plant height and the other is non-contributing (adds 0 cm to height). If a plant that is aabbccddee is 10cm tall (all alleles noncontributing) and a plant that is AABBCCDDEE is 30cm tall (all alleles contributing). a. If you cross aabbccddee x AABBCCDDEE, what will be the height of the progeny? b. If you cross the F1 from above to itself, what proportion of the F2 progeny will be 22cm tall? . What proportion of the F2 progeny will be 10cm?

Explanation / Answer

a). The genotype of F1 offspring is, AaBbCcDdEe

So, five contributing and five non-contributing alleles.

The height of the progeny is, = 10 cm + (2 cm*5) = 20 cm

b). The proportion of F2 progeny with 22 cm tall means, the genotype should have 6 contributing alleles.

6 contributing alleles – 6*2 = 12 cm

The non-contributing alleles = 10 cm

The probability is,

Aa Bb Cc Dd EE – ½*1/2*1/2*1/2*1/4 = 1/64

Thus, 1/64th proportion of the F2 progeny will be 22 cm tall.

c). The proportion of F2 progeny with 10 cm tall means, the genotype must be aabbccddee.

The probability of “aabbccddee” is, 1/1024

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