Homework Assignment #3 Questions

1. a) The probability of a purple flowered soybean plant is 3/4 and of a white flowered plant is 1/4. Find the probability of different combinations of 10 plants in an F₂ family of size ten.
   
   b) What is the probability of at least one purple plant in a family of size eight?
   
   
2. Two genes are believed to interact epistatically with duplicate gene action for purple color in maize. Use a X² test to test for a 1:1 ratio at each locus separately and for a 15:1 ratio for the combined effects of both loci. The following testcross was made:

Aabb x aabb to produce progeny.

class	Aabb	aabb	Total
observed	27	22	49

The testcross aaBb x aabb was made to produce the following progeny:

class	aaBb	aabb	Total
observed	120	137	257

The third cross was made to evaluate the expected 15:1 ratio. The AaBb x AaBb cross produced the following progeny:

class	Purple	White	Total
observed	275	25	300