5. Simple Mendelian Inheritance predicts that the probability of being born male is 50%. The actual probability is 106/206. This is because the Y chromosome is significantly smaller than the X chromosome, giving an XY-chromosome sperm a slight mobility advantage over an XX-chromosome sperm. Use the actual probability (106/206) to determine: a. If a mother has 3 children, what is the probability that at least two will be female? b. If a mother decides to continue having kids up until she has a girl (and then will stop having kids), what is the probability that the couple will have more than three kids? For simplicity, assume that twins are not possible. c. You are a doctor. A pregnant couple comes into your office. They already have three girls. They ask you what is the probability that this fetus will be a girl? How do you respond? Don't tell them to wait for the ultrasound; give them a probability.
5. Simple Mendelian Inheritance predicts that the probability of being born male is 50%. The actual probability is 106/206. This is because the Y chromosome is significantly smaller than the X chromosome, giving an XY-chromosome sperm a slight mobility advantage over an XX-chromosome sperm. Use the actual probability (106/206) to determine: a. If a mother has 3 children, what is the probability that at least two will be female? b. If a mother decides to continue having kids up until she has a girl (and then will stop having kids), what is the probability that the couple will have more than three kids? For simplicity, assume that twins are not possible. c. You are a doctor. A pregnant couple comes into your office. They already have three girls. They ask you what is the probability that this fetus will be a girl? How do you respond? Don't tell them to wait for the ultrasound; give them a probability.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:5. Simple Mendelian Inheritance predicts that the probability of being born male is 50%. The
actual probability is 106/206. This is because the Y chromosome is significantly smaller
than the X chromosome, giving an XY-chromosome sperm a slight mobility advantage over
an XX-chromosome sperm. Use the actual probability (106/206) to determine:
a. If a mother has 3 children, what is the probability that at least two will be female?
b.
If a mother decides to continue having kids up until she has a girl (and then will
stop having kids), what is the probability that the couple will have more than three
kids? For simplicity, assume that twins are not possible.
c. You are a doctor. A pregnant couple comes into your office. They already have
three girls. They ask you what is the probability that this fetus will be a girl? How
do you respond? Don't tell them to wait for the ultrasound; give them a probability.
Expert Solution
Step 1
It is given that:
The event that a female child is born is defined as success.
The event that a male child is born is defined as failure.
The prob. of failure (i.e., the prob. that a male child is born) is: .
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