Question

Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz (1lb = 16 oz).What is the probability that the average weight of the four babies will be more than 7.5 lbs?Would you convert the lbs. to ounces before this problem can be solved?

Answer 1

Answer:

Prob is 0.2839

Yes should be converted to have uniform units.

Step-by-step explanation:

Given that birth weights of babies born to full-term pregnancies follow roughly a Normal distribution

Let X be the mean weight of babies born to  full-term pregnancies

X is N (7, 14/16)

We convert oz into pounds to have uniform units so that we can do arithmetical operations in that

The probability that the average weight of the four babies will be more than 7.5 lbs

= P(X>7.5)

= $P(Z>\frac{7.5-7}{\frac{14}{16} } \\=P(Z>0.5714)\\=0.2839$