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
(type an integer or decimal rounded to three decimal places as needed.)

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 (in this case, a female baby) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (female babies) is \(209\) and the total number of outcomes (total babies) is \(214\). So, \(P = \frac{209}{214}\approx0.977\)

Answer:

\(0.977\)