A woman wrote to an advice columnist, saying that she had been pregnant for 310 days before giving birth. Completed pregnancies are normally distributed with a mean of 266 days and a standard deviation of 16 days. What is the z-score associated

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. A woman wrote to an advice columnist, saying that she had been pregnant for 310 days before giving birth. Completed pregnancies are normally distributed with a mean of 266 days and a standard deviation of 16 days.
    1. What is the z-score associated with this woman’s observed pregnancy length (Show your work)?
    2. What is the probability that a completed pregnancy lasts at least 310 days? Use https://www.calculator.net/z-score-calculator.html?c2z=1.8&c2p=&c2pg=&c2p0=&c2pin=&c2pout=&calctype=converter&x=68&y=13#converter to perform the probability calculation.

 

Expert Solution
Step 1
Given that.
 
X~N( μ , ?)
 
μ=266     , ?=16
 
Z-score =( x - μ )/?
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