Question

In: Biology

2. Phenylthiocarbamide (PTC) has the chemical structure that resembles toxic alkaloids in poisonous plants. The ability...

2. Phenylthiocarbamide (PTC) has the chemical structure that resembles toxic alkaloids in

poisonous plants. The ability to taste this compound is a dominant trait and is strongly

correlated with the ability to taste other bitter substances, many of which are naturally

occurring toxicants. Suppose that you are studying two heterozygous tasters for PTC

.

a. What are the chances that they will have three taster children?

b.What are the chances that they will have three taster girls?

c.Assuming that they have five children, what are the chances the the first three will be tasters and the last two non-tasters?

d. If they have a taster daughter, and she marries a non-taster, what are the chances that they will have non-taster offspring

Solutions

Expert Solution

Tasters = TT or Tt
Non-tasters = tt
Parental cross: Tt X Tt
Progeny: TT Tt Tt tt

a.
The probability of a child to be a taster = 3/4
The probability for three childs to be tasters = 3/4 X 3/4 X 3/4 = 0.421 = 42.1%

b.
The probability of a child to be a girl = 1/2
The probability for three childs to be girls = 1/2 X 1/2 X 1/2 = 0.125 = 12.5%
The probability for three childs to be tasters = 3/4 X 3/4 X 3/4 = 0.421 = 42.1%
The probability for three female childs to be tasters = 0.421 X 0.125= 0.0526 = 5.26%

c.
The probability for the first three childs to be tasters = 3/4 X 3/4 X 3/4 = 0.421 = 42.1%
The probability for the last two childs to be non-tasters = 1/4 X 1/4 = 0.0625 = 6.25%
The probability for the first three childs to be tasters and the last two childs to be non-tasters = 0.421 X 0.0625 = 0.0263 = 2.63%

d.
Taster daughter = TT or Tt
The probability that she can be Tt = 2/3
Non-taster groom = tt

The probability that their child can be non-taster = 2/3 X 1 = 2/3 = 0.66 = 66%

gladiator answered 2 years ago
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