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44     Chapter 2    Mendel’s Principles of Heredity


                41.  Consider the cystic fibrosis pedigree in Figure 2.24a.    44.  Midphalangeal hair (hair on top of the middle
                  a.  Assuming that one of the individuals in generation   segment of the fingers) is a common phenotype
                    I was a carrier, and that no one from outside the   caused by a dominant allele M. Homozygotes for
                    family was a carrier, what was the probability that   the recessive allele (mm) lack hair on the middle
                    any single child of the consanguineous couple in   segment of their fingers. Among 1000 families in
                    generation V would have cystic fibrosis? (Assume   which both parents had midphalangeal hair, 1853
                    that none of their children is born yet, so you don’t   children showed the trait while 209 children did not.
                    know that VI-4 has the disease.)                   Explain this result.
                  b. Assuming that one of the individuals in generation     45.  A man with Huntington disease (he is heterozygous
                                                                             +
                    I was a carrier and that 1/1000 people in the popu-  HD HD ) and a normal woman have two children.
                    lation is a carrier, and knowing that VI-4 has     a.  What is the probability that only the second child
                    the disease, how likely was it that VII-1 would      has the disease?
                    be affected?                                       b.  What is the probability that only one of the children
               42.  The common grandfather of two first cousins has he-  has the disease?
                  reditary hemochromatosis, a recessive condition caus-  c.  What is the probability that none of the children
                  ing an abnormal buildup of iron in the body. Neither of   has the disease?
                  the cousins has the disease nor do any of their relatives.  d. Answer (a) through (c) assuming that the couple
                  a.  If the first cousins had a child, what is the chance   had 10 children.
                    that the child would have hemochromatosis?         e.  What is the probability that 4 of the 10 children in
                    Assume that the unrelated, unaffected parents of     the family in (d) have the disease?
                    the cousins are not carriers.
                  b. How would your calculation change if you knew     46.  Explain why disease alleles for cystic fibrosis (CF)
                                                                                                       +
                                                                       are recessive to the normal alleles (CF ), yet the
                    that 1 out of every 10 unaffected people in the pop-  disease alleles responsible for Huntington disease
                    ulation (including the unrelated parents of these   (HD) are dominant to the normal alleles (HD ).
                                                                                                             +
                    cousins) was a carrier for hemochromatosis?
                43.  People with nail-patella syndrome have poorly devel-    47.  The following pedigree shows the inheritance of red
                                                                       hair in a family in Scotland. Red hair is caused by
                  oped or absent kneecaps and nails. Individuals with   homozygosity for a recessive allele of a gene called
                  alkaptonuria have arthritis as well as urine that dark-  MC1R. Although worldwide red hair is the rarest
                  ens when exposed to air. Both nail-patella syndrome   of human hair colors, red hair is not uncommon in
                  and alkaptonuria are rare phenotypes. In the following   Scotland. In fact, 40% of Scots without red hair are
                  pedigree, vertical red lines indicate individuals with   nonetheless carriers of the red hair allele.
                  nail-patella syndrome, while horizontal green lines
                  denote individuals with alkaptonuria.
                                                                   I
                  a.  What are the most likely modes of inheritance of
                    nail-patella syndrome and alkaptonuria? What gen-  II
                    otypes can you ascribe to each of the individuals in
                    the pedigree for both of these phenotypes?
                                                                   III
                  b. In a mating between IV-2 and IV-5, what is the    1   2                        9  10
                    chance that the child produced would have both   IV  ?                            ?
                    nail-patella syndrome and alkaptonuria? Nail-        1                            2
                    patella syndrome alone? Alkaptonuria alone?
                    Neither defect?                                    a.  Why does red hair show a horizontal inheritance
                                                                         pattern in this particular pedigree even though the
              I
                                           1    2                        trait is caused by a recessive allele?
                                                                       b. Assuming that individual III-2 has a child with the
              II
                             1   2       3       4       5    6          Scottish woman shown (III-1) who is not a close
                                                                         relative, what is the probability that this child
              III
                  1     2            3               4   5    6          (IV-1) will have red hair? 
                                                                       c.  What is the probability that the child of first cous-
              IV
                  1     2          3     4     5     6     7             ins III-9 and III-10 (IV-2), will have red hair?
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