mobile platform carries boxes from all over a warehouse to a loading area. The weight that the platforms can support without breaking is normally distributed with a mean of ?= 936 lbs and a standard deviation of ?= 199 lbs.   a. Find the z-score corresponding to a platform that breaks under the pressure of a 367 lb load. Round your answer to 2 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A mobile platform carries boxes from all over a warehouse to a loading area. The weight that the platforms can support without breaking is normally distributed with a mean of ?= 936 lbs and a standard deviation of ?= 199 lbs.
 
a. Find the z-score corresponding to a platform that breaks under the pressure of a 367 lb load. Round your answer to 2 decimal places.
 
 
b. Find the probability that a randomly selected platform will break under a load of 367 lbs. Round your answer to 4 decimal places.
 
 
c. The warehouse portions orders to ensure that fewer than 5% of their platforms will break. What is the maximum weight they will load onto a single platform? Round your answer to the nearest pound.
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