Math  /  Data & Statistics

QuestionSuppose the birth weights of full-term babies are normally distributed with mean 3250 grams and standard deviation σ=480\sigma=480 grams. Complete parts (a) through (c) below. (4) n 17 (c) Suppose the area under the normal curve to the riaht of X=4210X=4210 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 less than \square grams. B. The probability is 00228 that the birth weight of a randomly chosen full-term baby in this population is more than \square grams. solve this View an example Get more help - Clear all Check answer

Studdy Solution

STEP 1

1. The birth weights are normally distributed with a mean (μ\mu) of 3250 grams and a standard deviation (σ\sigma) of 480 grams.
2. The area under the normal curve to the right of X=4210X = 4210 is 0.0228.

STEP 2

1. Understand the given probability statement.
2. Interpret the probability in terms of birth weights.

STEP 3

Understand the given probability statement: The area under the normal curve to the right of X=4210X = 4210 is 0.0228. This means that the probability of a randomly chosen full-term baby having a birth weight greater than 4210 grams is 0.0228.

STEP 4

Interpret the probability in terms of birth weights:
Since the area to the right of 4210 is 0.0228, this corresponds to option B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than 4210 grams.
The correct interpretation is:
B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than 4210\boxed{4210} grams.

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