Question

suppose the birth weights of full - term babies are normally distributed with mean 3750 grams and standard deviation (sigma = 475) grams. complete parts (a) through (c) below
(b) shade the region that represents the proportion of full - term babies who weigh more than 4700 grams. choose the correct graph below
(c) suppose the area under the normal curve to the right of (x = 4700) is 0.0228. provide an interpretation of this result. select the correct choice 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 grams

Explanation:

Step1: Understand the normal distribution concept

In a normal distribution, the area under the curve to the right of a value \(x\) represents the proportion (or probability) of data points greater than \(x\).

Step2: Analyze the given information

We are given that the area under the normal curve to the right of \(X = 4700\) is \(0.0228\).

Answer:

A. The probability is \(0.0228\) that the birth weight of a randomly chosen full - term baby in this population is more than \(4700\) grams.