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When it comes to probability, the answer is always expressed as part of a whole. With that being said, your answer for this problem can be a ratio, fraction or in percentage. Probability is the study of finding the chances or odds of an event happening with the use of statistics. You are already given the statistics of baby girls and baby boys. Note that you are asked to find the probability of the baby being a girl. So, the part here includes the 248, while the whole is 248+13 = 261. Therefore, the probability is 248/261 or 0.95 or 95%. That means that the likelihood of having a girl baby using this technique is very high.
Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.
