Statistics Worksheet With Answers - Stat 200

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STAT 200
Guided Exercise 3
1. An individual’s genetic makeup is determined by the genes obtained from each
parent. For every genetic trait, each parent posses a gene pair; and each contributes ½ of
the gene pair, with equal probabilities, to their offspring, forming a new gene pair. The
offspring’s traits (eye color, baldness, etc.) come from this new gene pair, where each gene
in this pair posses some characteristic.
For the gene pair that determines eye color, each gene trait may be one of two types,
dominant brown, (B) or recessive blue (b). A person possessing the gene pair BB or Bb has
brown eyes, whereas the gene pair bb produces blue eyes.
a. Suppose both parents of an individual are brown eyed, each with a gene pair Bb. What
is the probability that a randomly selected child of this couple will have blue eyes?
Assuming each combination is equally likely,
Father
only 1 out of 4 will have the bb combination
for Blue eyes. The probability is 1/4 = .25; P
B
b
(Blue) = 1/4 = .25
Mother
B
BB
Bb
b
bB
bb
b. If one parent has brown eyes, type Bb, and the other has blue eyes, what is the
probability that a randomly selected child of this couple will have blue eyes?
I assumed the Father had blue eyes.
Father
Assuming each combination is equally likely,
2 out of 4 will have the bb combination for
b
b
Blue eyes. The probability is 2/4 = .5
P(Blue) = 2/4 = .5
Mother
B
Bb
Bb
b
bb
bb
 
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