1.) In guinea pigs, black (B) is dominant to brown (b), and dolid color (S) is dominant to spotted (s). A heterozygous black, solid-colored pig is mated with a brown, spotted pig. The total offspring for several litters are black solid=16, black spotted=5, brown solid=5, and brown spotted=14.

Are these genes linked or unlinked? If they are linked, how many map units are they apart?

2.) A woman is a carrier for a sex-linked lethal gene that causes an embryo with the gene to spontaneously abort. She has nine children. How many of these do you expect to be boys?

3.) A dominant sex-linked gene B produces white bars on black chickens, as seen in the Barred Plymouth Rock breed. A clutch of chicks has equal numbers of black and barred chicks. (Sex is determined by the Z-W system in birds: ZZ are males, ZW are females.)
a.) If only the females are found to be black, what were the genotypes of the parents?
b.) If males and females are evenly represented in the black and barred chicks, what were the genotypes of the parents?

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Genetics Problems

1.) In guinea pigs, Black (B) is dominant to Brown (b), and solid color (S) is dominant to spotted (s). A heterozygous black, solid-colored pig is mated with a brown, spotted pig. The total offspring for several litters are black solid=16, black spotted=5, brown solid=5, and brown spotted=14. Are these genes linked or unlinked? If they are linked, how many map units are they apart?

Answer - If the genes were independent(unlinked), using standard genetic techniques you would predict that the offspring would have the phenotypic ratio: 1 Black solid : 1 Black spotted : 1 Brown solid : 1 Brown spotted.

Given the 40 offspring (16+14+5+5), that would result in 10 of each of the above phenotypic classes. Since this isn't the case in our cross, these genes are linked.

An organism of genotype AaBb is testcrossed. 1000 offspring are counted and the numbers in the four genotypic categories are as follows:
AaBb 450
Aabb 42
aaBb 38
aabb 470
1.What can you say about these genes and what is the distance in map unit between 2 genes?
2.Rf between 2 genes is 0.5. What are 2 likely loc

Topology
Sets and Functions (XXXIX)
Functions
Let X be a non-empty set and f a mapping of X into itself.
Show that f is one-to-one onto iff there exists a mapp

Consider an arbitrary mapping f : X → Y. Suppose that f is a one-to-one onto.
Prove the main property of the second set mapping:
B1 is a subset of B2 implies f^(-1)(B1) is a subset of f^(-1)(B2).
See the attached file for format

Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
a. Is this mapping onto? Why or why not?
b. Is this mapping one to one? Why or why not?
c. Is this mapping a h

Consider an arbitrary mapping f : X -> Y.
Prove the main property of the first set mapping:
f(intersection_i A_i) = intersection_i f(A_i)
Please see attachment if the symbols are compromised.

** Please see the attached file for the complete problem description **
Hello,
I am struggling with the questions in the attached PDF on Boolean and Karnaugh Mapping. Not sure of the correct sequences to get the answers on questions d i ii iii iv v and e.
Could you please show full step by step working and final answer

Topology
Sets and Functions (XXXIV)
Functions
Let X be a non-empty set. The identity mapping ix on X is the mapping of X onto itself
defined by ix(x) = x