Answer:
The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.
Step-by-step explanation:
Denote the events as follows:
<em>T</em> = birth was to a teen mother
<em>Y</em> = birth was to a young-adult mother
<em>A</em> = birth was to an adult mother
<em>U</em> = a birth was unintended
<em>I</em> = a birth was intended.
<u>Given:</u>
P (T) = 0.09
P (Y) = 0.24
P (A) = 0.67
P (I | T) = 0.23
P (U | T) = 0.77
P (I | Y) = 0.50
P (U | Y) = 1 - P (I | Y) = 0.50
P (I | A) = 0.75
P (U | A) = 1 - P (I | A) = 0.75 = 0.25
Consider the tree diagram below.
According to the Bayes' theorem,
Using the Bayes' theorem compute the probability that a birth was to a teen mother if we know that the pregnancy was unintended as follows:
The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.
