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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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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