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Assisted Reproductive Technology A study found that 45% of
Chapter 3, Problem 29E(choose chapter or problem)
A study found that 45% of the embryo transfers performed in assisted reproductive technology (ART) procedures resulted in pregnancies. Twenty-four percent of the ART pregnancies resulted in multiple births. (Source: National Center for Chronic Disease Prevention and Health Promotion)
(a) Find the probability that a randomly selected embryo transfer resulted in a pregnancy and produced a multiple birth.
(b) Find the probability that a randomly selected embryo transfer that resulted in a pregnancy did not produce a multiple birth.
(c) Would it be unusual for a randomly selected embryo transfer to result in a pregnancy and produce a multiple birth? Explain.
Questions & Answers
QUESTION:
A study found that 45% of the embryo transfers performed in assisted reproductive technology (ART) procedures resulted in pregnancies. Twenty-four percent of the ART pregnancies resulted in multiple births. (Source: National Center for Chronic Disease Prevention and Health Promotion)
(a) Find the probability that a randomly selected embryo transfer resulted in a pregnancy and produced a multiple birth.
(b) Find the probability that a randomly selected embryo transfer that resulted in a pregnancy did not produce a multiple birth.
(c) Would it be unusual for a randomly selected embryo transfer to result in a pregnancy and produce a multiple birth? Explain.
ANSWER:
Solution :
Step 1 of 3:
Given a study found that 45% or 0.45 of the embryo transfers performed in assisted reproductive technology (ART) procedures resulted in pregnancies.
Then 24% or 0.24 of the ART pregnancies resulted in multiple births.
Our goal is:
a). We need to find the probability that a randomly selected embryo transfer resulted in a pregnancy and produced a multiple birth
b). We need to find the probability that a randomly selected embryo transfer that resulted in a pregnancy did not produce a multiple birth.
c). We need to find would it be unusual or not.
a). Now we are using the multiplication rule to find the probability of pregnancy and multiple birth.
P (pregnancy and multiple birth) =
P (pregnancy and multiple birth) =
P (pregnancy and multiple birth) =
P (pregnancy and multiple birth) =
P (pregnancy and multiple birth) = 0.108
Therefore, the probability that a pregnancy and produced a multiple birth is 0.108.