Suppose that two parents are both heterozygous for sickle cell anemia, which is an autosomal recessive disease. They have five children, from five different pregnancies. Use the binomial theorem and select if each statement below is TRUE or FALSE. Consider a the probability that a child is affected by sickle cell anemia and b the probability that a child is healthy. Binomial Expansion n 1 2 3 4 5 a+b a² + 2ab + b² a³ + 3a²b + 3ab² + b³ a4 + 4a³b + 6a²b² + 4ab³ + b4 a5 + 5aªb + 10a³b² + 10a²b³ + 5ab4 + b5 a. The probability that all children are healthy (b5) is less than the probability (a5) that all children are affected by this disease. [Select] b. The probability that the third child is affected by this disorder is a=25%. [Select] c. The probability that one child is affected by this disorder and the other four are healthy is described by the term 5ab4 and it is approximately 90.5%. [Select] d. The probability that all children are healthy can be calculated by multiplying the probability of a single child being healthy by 5 [Select] FALSE TRUE

Human Anatomy & Physiology (11th Edition)
11th Edition
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Author:Elaine N. Marieb, Katja N. Hoehn
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Chapter1: The Human Body: An Orientation
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Suppose that two parents are both heterozygous for sickle cell anemia, which is an autosomal
recessive disease. They have five children, from five different pregnancies. Use the binomial
theorem and select if each statement below is TRUE or FALSE. Consider a the probability that a
child is affected by sickle cell anemia and b the probability that a child is healthy.
Binomial Expansion
n
1
2
3
4
5
a+b
a² + 2ab + b²
a³ + 3a²b + 3ab² + b³
a4 + 4a³b + 6a²b² + 4ab³ + b4
a5 + 5aªb + 10a³b² + 10a²b³ + 5ab4 + b5
a. The probability that all children are healthy (b5) is less than the probability (a5) that all children
are affected by this disease. [Select]
b. The probability that the third child is affected by this disorder is a=25%.
[Select]
c. The probability that one child is affected by this disorder and the other four are healthy is
described by the term 5ab4 and it is approximately 90.5%. [Select]
d. The probability that all children are healthy can be calculated by multiplying the probability of a
single child being healthy by 5 [Select]
FALSE
TRUE
Transcribed Image Text:Suppose that two parents are both heterozygous for sickle cell anemia, which is an autosomal recessive disease. They have five children, from five different pregnancies. Use the binomial theorem and select if each statement below is TRUE or FALSE. Consider a the probability that a child is affected by sickle cell anemia and b the probability that a child is healthy. Binomial Expansion n 1 2 3 4 5 a+b a² + 2ab + b² a³ + 3a²b + 3ab² + b³ a4 + 4a³b + 6a²b² + 4ab³ + b4 a5 + 5aªb + 10a³b² + 10a²b³ + 5ab4 + b5 a. The probability that all children are healthy (b5) is less than the probability (a5) that all children are affected by this disease. [Select] b. The probability that the third child is affected by this disorder is a=25%. [Select] c. The probability that one child is affected by this disorder and the other four are healthy is described by the term 5ab4 and it is approximately 90.5%. [Select] d. The probability that all children are healthy can be calculated by multiplying the probability of a single child being healthy by 5 [Select] FALSE TRUE
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