Problem

Suppose the birth weights of full-term babies are normally distributed with mean 3750 grams and standard deviation $\sigma=490$ grams. Complete parts (a) through (c) below
(b) Shade the region that represents the proportion of full-term babies who weigh more than 4730 grams. Choose the correct graph below.
(c).
C.
C.
D.
(c) Suppose the area under the normal curve to the right of $X=4730$ is 0.0228 . Provide an interpretation of this result. Select the correct shoice below and fill in the answer box to complete your choice.
(Type a whole number)
A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than grams
B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than $\square$ grams.
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Final Answer: The correct choice is A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than 4730 grams.

Steps

Step 1 :The question is asking for the interpretation of the area under the normal curve to the right of X=4730, which is given as 0.0228. This area represents the proportion of full-term babies who weigh more than 4730 grams.

Step 2 :Therefore, the probability that a randomly chosen full-term baby in this population weighs more than 4730 grams is 0.0228.

Step 3 :Final Answer: The correct choice is A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than 4730 grams.

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