Question

in a test of a sex-selection technique, results consisted of 278 female babies and 6 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: Find total number of babies

Total babies = female + male = 278 + 6 = 284

Step2: Calculate probability of female

Probability = $\frac{\text{Number of female babies}}{\text{Total number of babies}}$ = $\frac{278}{284}$ ≈ 0.978873...

Step3: Round to three decimal places

Rounded value ≈ 0.979

Answer:

0.979