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Question
in a test of a sex-selection technique, results consisted of 245 female babies and 7 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.) does the technique appear effective in improving the likelihood of having a female baby? yes no
Step1: Calculate total number of babies
Total babies = female babies + male babies = 245 + 7 = 252
Step2: Calculate probability of female baby
Probability = $\frac{\text{Number of female babies}}{\text{Total number of babies}}$ = $\frac{245}{252}$ ≈ 0.972
Step3: Determine effectiveness
Normally, the probability of a female baby is around 0.5. Since 0.972 > 0.5, the technique is effective.
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The probability that a female will be born using this technique is approximately 0.972.
Does the technique appear effective in improving the likelihood of having a female baby? Yes