Question

in a test of a sex - selection technique, results consisted of 209 female babies and 5 male babies. based on this result, what is the probability of a female being born to a couple using this technique? does it appear that the technique is effective in increasing the likelihood that a baby will be a female?
the probability that a female will be born using this technique is approximately 0.977.
(type an integer or decimal rounded to three decimal places as needed.)
does the technique appear effective in improving the likelihood of having a female baby?
no
yes

Explanation:

Step1: Calculate the total number of babies

The total number of babies is the sum of female and male babies. So, \(209 + 5=214\)

Step2: Calculate the probability of a female baby

The probability \(P\) of an event is given by \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (female babies) is \(209\), and the total number of outcomes (total babies) is \(214\). So, \(P=\frac{209}{214}\approx0.977\)

Step3: Determine if the technique is effective

Since the probability of having a female baby (\(0.977\)) is much higher than the natural probability of having a female baby (approx \(0.5\)), the technique appears effective.

Answer:

The probability that a female will be born using this technique is approximately \(0.977\). The answer to "Does the technique appear effective in improving the likelihood of having a female baby?" is B. Yes.