Question

in a test of a sex - selection technique, results consisted of 277 female babies and 11 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 total number of babies

The total number of babies is the sum of female and male babies. So, $277 + 11=288$.

Step2: Calculate probability of female birth

The probability $P$ of a female being born is the number of female babies divided by the total number of babies. So, $P=\frac{277}{288}\approx0.962$.

Answer:

$0.962$